Area Summation with Riemann Sums

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2015-07-21 01:12

Function Calculus Integral

In collections Fun with Functions

This example demonstrates the concept of Riemann sums, allowing students to visually understand upper sums, lower sums, and integrals by adjusting interval divisions and point positions. Commands used include Segment, Integral, If, Sum, Polygon, Textfield, UpperSum, and LowerSum. Suitable for high school and above students learning calculus.

GeoGebra Commands & Parameters

Segment((C1, 0), (C1, f(C1))) → D1
Integral(f(C1), C1, C2) → E1
Integral(f(C2), C1, C2) → F1
Segment((Right + (3 * $A$4), f(C1)), (Right + (4 * $A$4), f(C1))) → G1
Segment((Right + (3 * $A$4), f(C1)), (Right + (3 * $A$4), f(Right))) → A6
Segment((Right + (4 * $A$4), f(C1)), (Right + (4 * $A$4), f(Right))) → A7
Integral(f(C2), C2, C3) → E2
Integral(f(C3), C3, C4) → E3
Integral(f(C4), C4, C5) → E4
Integral(f(C5), C5, C6) → E5
Integral(f(C6), C6, C7) → E6
Integral(f(C7), C7, C8) → E7
Integral(f(C8), C8, C9) → E8
Integral(f(C9), C9, C10) → E9
Integral(f(C10), C10, C11) → E10
Integral(f(C11), C11, C12) → E11
Integral(f(C12), C12, C13) → E12
Integral(f(C13), C13, C14) → E13
Integral(f(C14), C14, C15) → E14
Integral(f(C15), C15, C16) → E15
Integral(f(C16), C16, C17) → E16
Integral(f(C17), C17, C18) → E17
Integral(f(C18), C18, C19) → E18
Integral(f(C19), C19, C20) → E19
Integral(f(C20), C20, C21) → E20
Integral(f(C21), C21, C22) → E21
Integral(f(C22), C22, C23) → E22
Integral(f(C23), C23, C24) → E23
Integral(f(C24), C24, C25) → E24
Integral(f(C25), C25, C26) → E25
Integral(f(C26), C26, C27) → E26
Integral(f(C27), C27, C28) → E27
Integral(f(C28), C28, C29) → E28
Integral(f(C29), C29, C30) → E29
Integral(f(C30), C30, C31) → E30
Integral(f(C31), C31, C32) → E31
Integral(f(C32), C32, C33) → E32
Integral(f(C33), C33, C34) → E33
Integral(f(C34), C34, C35) → E34
Integral(f(C35), C35, C36) → E35
Integral(f(C36), C36, C37) → E36
Integral(f(C37), C37, C38) → E37
Integral(f(C38), C38, C39) → E38
Integral(f(C39), C39, C40) → E39
Integral(f(C40), C40, C41) → E40
Integral(f(C41), C41, C42) → E41
Integral(f(C42), C42, C43) → E42
Integral(f(C43), C43, C44) → E43
Integral(f(C44), C44, C45) → E44
Integral(f(C45), C45, C46) → E45
Integral(f(C46), C46, C47) → E46
Integral(f(C47), C47, C48) → E47
Integral(f(C48), C48, C49) → E48
Integral(f(C49), C49, C50) → E49
Integral(f(C50), C50, C51) → E50
Integral(f(C51), C51, C52) → E51
Integral(f(C52), C52, C53) → E52
Integral(f(C53), C53, C54) → E53
Integral(f(C54), C54, C55) → E54
Integral(f(C55), C55, C56) → E55
Integral(f(C56), C56, C57) → E56
Integral(f(C57), C57, C58) → E57
Integral(f(C58), C58, C59) → E58
Integral(f(C59), C59, C60) → E59
Integral(f(C60), C60, C61) → E60
Integral(f(C61), C61, C62) → E61
Integral(f(C62), C62, C63) → E62
Integral(f(C63), C63, C64) → E63
Integral(f(C64), C64, C65) → E64
Integral(f(C65), C65, C66) → E65
Integral(f(C66), C66, C67) → E66
Integral(f(C67), C67, C68) → E67
Integral(f(C68), C68, C69) → E68
Integral(f(C69), C69, C70) → E69
Integral(f(C70), C70, C71) → E70
Integral(f(C71), C71, C72) → E71
Integral(f(C72), C72, C73) → E72
Integral(f(C73), C73, C74) → E73
Integral(f(C74), C74, C75) → E74
Integral(f(C75), C75, C76) → E75
Integral(f(C76), C76, C77) → E76
Integral(f(C77), C77, C78) → E77
Integral(f(C78), C78, C79) → E78
Integral(f(C79), C79, C80) → E79
Integral(f(C80), C80, C81) → E80
Integral(f(C81), C81, C82) → E81
Integral(f(C82), C82, C83) → E82
Integral(f(C83), C83, C84) → E83
Integral(f(C84), C84, C85) → E84
Integral(f(C85), C85, C86) → E85
Integral(f(C86), C86, C87) → E86
Integral(f(C87), C87, C88) → E87
Integral(f(C88), C88, C89) → E88
Integral(f(C89), C89, C90) → E89
Integral(f(C90), C90, C91) → E90
Integral(f(C91), C91, C92) → E91
Integral(f(C92), C92, C93) → E92
Integral(f(C93), C93, C94) → E93
Integral(f(C94), C94, C95) → E94
Integral(f(C95), C95, C96) → E95
Integral(f(C96), C96, C97) → E96
Integral(f(C97), C97, C98) → E97
Integral(f(C98), C98, C99) → E98
Integral(f(C99), C99, C100) → E99
Integral(f(C100), C100, C101) → E100
Integral(f(C101), C101, C102) → E101
Integral(f(C102), C102, C103) → E102
Integral(f(C3), C2, C3) → F2
Integral(f(C4), C3, C4) → F3
Integral(f(C5), C4, C5) → F4
Integral(f(C6), C5, C6) → F5
Integral(f(C7), C6, C7) → F6
Integral(f(C8), C7, C8) → F7
Integral(f(C9), C8, C9) → F8
Integral(f(C10), C9, C10) → F9
Integral(f(C11), C10, C11) → F10
Integral(f(C12), C11, C12) → F11
Integral(f(C13), C12, C13) → F12
Integral(f(C14), C13, C14) → F13
Integral(f(C15), C14, C15) → F14
Integral(f(C16), C15, C16) → F15
Integral(f(C17), C16, C17) → F16
Integral(f(C18), C17, C18) → F17
Integral(f(C19), C18, C19) → F18
Integral(f(C20), C19, C20) → F19
Integral(f(C21), C20, C21) → F20
Integral(f(C22), C21, C22) → F21
Integral(f(C23), C22, C23) → F22
Integral(f(C24), C23, C24) → F23
Integral(f(C25), C24, C25) → F24
Integral(f(C26), C25, C26) → F25
Integral(f(C27), C26, C27) → F26
Integral(f(C28), C27, C28) → F27
Integral(f(C29), C28, C29) → F28
Integral(f(C30), C29, C30) → F29
Integral(f(C31), C30, C31) → F30
Integral(f(C32), C31, C32) → F31
Integral(f(C33), C32, C33) → F32
Integral(f(C34), C33, C34) → F33
Integral(f(C35), C34, C35) → F34
Integral(f(C36), C35, C36) → F35
Integral(f(C37), C36, C37) → F36
Integral(f(C38), C37, C38) → F37
Integral(f(C39), C38, C39) → F38
Integral(f(C40), C39, C40) → F39
Integral(f(C41), C40, C41) → F40
Integral(f(C42), C41, C42) → F41
Integral(f(C43), C42, C43) → F42
Integral(f(C44), C43, C44) → F43
Integral(f(C45), C44, C45) → F44
Integral(f(C46), C45, C46) → F45
Integral(f(C47), C46, C47) → F46
Integral(f(C48), C47, C48) → F47
Integral(f(C49), C48, C49) → F48
Integral(f(C50), C49, C50) → F49
Integral(f(C51), C50, C51) → F50
Integral(f(C52), C51, C52) → F51
Integral(f(C53), C52, C53) → F52
Integral(f(C54), C53, C54) → F53
Integral(f(C55), C54, C55) → F54
Integral(f(C56), C55, C56) → F55
Integral(f(C57), C56, C57) → F56
Integral(f(C58), C57, C58) → F57
Integral(f(C59), C58, C59) → F58
Integral(f(C60), C59, C60) → F59
Integral(f(C61), C60, C61) → F60
Integral(f(C62), C61, C62) → F61
Integral(f(C63), C62, C63) → F62
Integral(f(C64), C63, C64) → F63
Integral(f(C65), C64, C65) → F64
Integral(f(C66), C65, C66) → F65
Integral(f(C67), C66, C67) → F66
Integral(f(C68), C67, C68) → F67
Integral(f(C69), C68, C69) → F68
Integral(f(C70), C69, C70) → F69
Integral(f(C71), C70, C71) → F70
Integral(f(C72), C71, C72) → F71
Integral(f(C73), C72, C73) → F72
Integral(f(C74), C73, C74) → F73
Integral(f(C75), C74, C75) → F74
Integral(f(C76), C75, C76) → F75
Integral(f(C77), C76, C77) → F76
Integral(f(C78), C77, C78) → F77
Integral(f(C79), C78, C79) → F78
Integral(f(C80), C79, C80) → F79
Integral(f(C81), C80, C81) → F80
Integral(f(C82), C81, C82) → F81
Integral(f(C83), C82, C83) → F82
Integral(f(C84), C83, C84) → F83
Integral(f(C85), C84, C85) → F84
Integral(f(C86), C85, C86) → F85
Integral(f(C87), C86, C87) → F86
Integral(f(C88), C87, C88) → F87
Integral(f(C89), C88, C89) → F88
Integral(f(C90), C89, C90) → F89
Integral(f(C91), C90, C91) → F90
Integral(f(C92), C91, C92) → F91
Integral(f(C93), C92, C93) → F92
Integral(f(C94), C93, C94) → F93
Integral(f(C95), C94, C95) → F94
Integral(f(C96), C95, C96) → F95
Integral(f(C97), C96, C97) → F96
Integral(f(C98), C97, C98) → F97
Integral(f(C99), C98, C99) → F98
Integral(f(C100), C99, C100) → F99
Integral(f(C101), C100, C101) → F100
Integral(f(C102), C101, C102) → F101
Integral(f(C103), C102, C103) → F102
Segment((Right + (3 * $A$4), f(C12)), (Right + (4 * $A$4), f(C12))) → G12
Segment((C2, 0), (C2, f(C2))) → D2
Segment((C3, 0), (C3, f(C3))) → D3
Segment((C4, 0), (C4, f(C4))) → D4
Segment((C5, 0), (C5, f(C5))) → D5
Segment((C6, 0), (C6, f(C6))) → D6
Segment((C7, 0), (C7, f(C7))) → D7
Segment((C8, 0), (C8, f(C8))) → D8
Segment((C9, 0), (C9, f(C9))) → D9
Segment((C10, 0), (C10, f(C10))) → D10
Segment((C11, 0), (C11, f(C11))) → D11
Segment((C12, 0), (C12, f(C12))) → D12
Segment((C13, 0), (C13, f(C13))) → D13
Segment((C14, 0), (C14, f(C14))) → D14
Segment((C15, 0), (C15, f(C15))) → D15
Segment((C16, 0), (C16, f(C16))) → D16
Segment((C17, 0), (C17, f(C17))) → D17
Segment((C18, 0), (C18, f(C18))) → D18
Segment((C19, 0), (C19, f(C19))) → D19
Segment((C20, 0), (C20, f(C20))) → D20
Segment((C21, 0), (C21, f(C21))) → D21
Segment((C22, 0), (C22, f(C22))) → D22
Segment((C23, 0), (C23, f(C23))) → D23
Segment((C24, 0), (C24, f(C24))) → D24
Segment((C25, 0), (C25, f(C25))) → D25
Segment((C26, 0), (C26, f(C26))) → D26
Segment((C27, 0), (C27, f(C27))) → D27
Segment((C28, 0), (C28, f(C28))) → D28
Segment((C29, 0), (C29, f(C29))) → D29
Segment((C30, 0), (C30, f(C30))) → D30
Segment((C31, 0), (C31, f(C31))) → D31
Segment((C32, 0), (C32, f(C32))) → D32
Segment((C33, 0), (C33, f(C33))) → D33
Segment((C34, 0), (C34, f(C34))) → D34
Segment((C35, 0), (C35, f(C35))) → D35
Segment((C36, 0), (C36, f(C36))) → D36
Segment((C37, 0), (C37, f(C37))) → D37
Segment((C38, 0), (C38, f(C38))) → D38
Segment((C39, 0), (C39, f(C39))) → D39
Segment((C40, 0), (C40, f(C40))) → D40
Segment((C41, 0), (C41, f(C41))) → D41
Segment((C42, 0), (C42, f(C42))) → D42
Segment((C43, 0), (C43, f(C43))) → D43
Segment((C44, 0), (C44, f(C44))) → D44
Segment((C45, 0), (C45, f(C45))) → D45
Segment((C46, 0), (C46, f(C46))) → D46
Segment((C47, 0), (C47, f(C47))) → D47
Segment((C48, 0), (C48, f(C48))) → D48
Segment((C49, 0), (C49, f(C49))) → D49
Segment((C50, 0), (C50, f(C50))) → D50
Segment((C51, 0), (C51, f(C51))) → D51
Segment((C52, 0), (C52, f(C52))) → D52
Segment((C53, 0), (C53, f(C53))) → D53
Segment((C54, 0), (C54, f(C54))) → D54
Segment((C55, 0), (C55, f(C55))) → D55
Segment((C56, 0), (C56, f(C56))) → D56
Segment((C57, 0), (C57, f(C57))) → D57
Segment((C58, 0), (C58, f(C58))) → D58
Segment((C59, 0), (C59, f(C59))) → D59
Segment((C60, 0), (C60, f(C60))) → D60
Segment((C61, 0), (C61, f(C61))) → D61
Segment((C62, 0), (C62, f(C62))) → D62
Segment((C63, 0), (C63, f(C63))) → D63
Segment((C64, 0), (C64, f(C64))) → D64
Segment((C65, 0), (C65, f(C65))) → D65
Segment((C66, 0), (C66, f(C66))) → D66
Segment((C67, 0), (C67, f(C67))) → D67
Segment((C68, 0), (C68, f(C68))) → D68
Segment((C69, 0), (C69, f(C69))) → D69
Segment((C70, 0), (C70, f(C70))) → D70
Segment((C71, 0), (C71, f(C71))) → D71
Segment((C72, 0), (C72, f(C72))) → D72
Segment((C73, 0), (C73, f(C73))) → D73
Segment((C74, 0), (C74, f(C74))) → D74
Segment((C75, 0), (C75, f(C75))) → D75
Segment((C76, 0), (C76, f(C76))) → D76
Segment((C77, 0), (C77, f(C77))) → D77
Segment((C78, 0), (C78, f(C78))) → D78
Segment((C79, 0), (C79, f(C79))) → D79
Segment((C80, 0), (C80, f(C80))) → D80
Segment((C81, 0), (C81, f(C81))) → D81
Segment((C82, 0), (C82, f(C82))) → D82
Segment((C83, 0), (C83, f(C83))) → D83
Segment((C84, 0), (C84, f(C84))) → D84
Segment((C85, 0), (C85, f(C85))) → D85
Segment((C86, 0), (C86, f(C86))) → D86
Segment((C87, 0), (C87, f(C87))) → D87
Segment((C88, 0), (C88, f(C88))) → D88
Segment((C89, 0), (C89, f(C89))) → D89
Segment((C90, 0), (C90, f(C90))) → D90
Segment((C91, 0), (C91, f(C91))) → D91
Segment((C92, 0), (C92, f(C92))) → D92
Segment((C93, 0), (C93, f(C93))) → D93
Segment((C94, 0), (C94, f(C94))) → D94
Segment((C95, 0), (C95, f(C95))) → D95
Segment((C96, 0), (C96, f(C96))) → D96
Segment((C97, 0), (C97, f(C97))) → D97
Segment((C98, 0), (C98, f(C98))) → D98
Segment((C99, 0), (C99, f(C99))) → D99
Segment((C100, 0), (C100, f(C100))) → D100
Segment((C101, 0), (C101, f(C101))) → D101
Segment((C102, 0), (C102, f(C102))) → D102
Segment((C103, 0), (C103, f(C103))) → D103
If(C1 < Right, E1, 0) → H1
If(C2 < Right, E2, 0) → H2
If(C3 < Right, E3, 0) → H3
If(C4 < Right, E4, 0) → H4
If(C5 < Right, E5, 0) → H5
If(C6 < Right, E6, 0) → H6
If(C7 < Right, E7, 0) → H7
If(C8 < Right, E8, 0) → H8
If(C9 < Right, E9, 0) → H9
If(C10 < Right, E10, 0) → H10
If(C11 < Right, E11, 0) → H11
If(C12 < Right, E12, 0) → H12
If(C13 < Right, E13, 0) → H13
If(C14 < Right, E14, 0) → H14
If(C15 < Right, E15, 0) → H15
If(C16 < Right, E16, 0) → H16
If(C17 < Right, E17, 0) → H17
If(C18 < Right, E18, 0) → H18
If(C19 < Right, E19, 0) → H19
If(C20 < Right, E20, 0) → H20
If(C21 < Right, E21, 0) → H21
If(C22 < Right, E22, 0) → H22
If(C23 < Right, E23, 0) → H23
If(C24 < Right, E24, 0) → H24
If(C25 < Right, E25, 0) → H25
If(C26 < Right, E26, 0) → H26
If(C27 < Right, E27, 0) → H27
If(C28 < Right, E28, 0) → H28
If(C29 < Right, E29, 0) → H29
If(C30 < Right, E30, 0) → H30
If(C31 < Right, E31, 0) → H31
If(C32 < Right, E32, 0) → H32
If(C33 < Right, E33, 0) → H33
If(C34 < Right, E34, 0) → H34
If(C35 < Right, E35, 0) → H35
If(C36 < Right, E36, 0) → H36
If(C37 < Right, E37, 0) → H37
If(C38 < Right, E38, 0) → H38
If(C39 < Right, E39, 0) → H39
If(C40 < Right, E40, 0) → H40
If(C41 < Right, E41, 0) → H41
If(C42 < Right, E42, 0) → H42
If(C43 < Right, E43, 0) → H43
If(C44 < Right, E44, 0) → H44
If(C45 < Right, E45, 0) → H45
If(C46 < Right, E46, 0) → H46
If(C47 < Right, E47, 0) → H47
If(C48 < Right, E48, 0) → H48
If(C49 < Right, E49, 0) → H49
If(C50 < Right, E50, 0) → H50
If(C51 < Right, E51, 0) → H51
If(C52 < Right, E52, 0) → H52
If(C53 < Right, E53, 0) → H53
If(C54 < Right, E54, 0) → H54
If(C55 < Right, E55, 0) → H55
If(C56 < Right, E56, 0) → H56
If(C57 < Right, E57, 0) → H57
If(C58 < Right, E58, 0) → H58
If(C59 < Right, E59, 0) → H59
If(C60 < Right, E60, 0) → H60
If(C61 < Right, E61, 0) → H61
If(C62 < Right, E62, 0) → H62
If(C63 < Right, E63, 0) → H63
If(C64 < Right, E64, 0) → H64
If(C65 < Right, E65, 0) → H65
If(C66 < Right, E66, 0) → H66
If(C67 < Right, E67, 0) → H67
If(C68 < Right, E68, 0) → H68
If(C69 < Right, E69, 0) → H69
If(C70 < Right, E70, 0) → H70
If(C71 < Right, E71, 0) → H71
If(C72 < Right, E72, 0) → H72
If(C73 < Right, E73, 0) → H73
If(C74 < Right, E74, 0) → H74
If(C75 < Right, E75, 0) → H75
If(C76 < Right, E76, 0) → H76
If(C77 < Right, E77, 0) → H77
If(C78 < Right, E78, 0) → H78
If(C79 < Right, E79, 0) → H79
If(C80 < Right, E80, 0) → H80
If(C81 < Right, E81, 0) → H81
If(C82 < Right, E82, 0) → H82
If(C83 < Right, E83, 0) → H83
If(C84 < Right, E84, 0) → H84
If(C85 < Right, E85, 0) → H85
If(C86 < Right, E86, 0) → H86
If(C87 < Right, E87, 0) → H87
If(C88 < Right, E88, 0) → H88
If(C89 < Right, E89, 0) → H89
If(C90 < Right, E90, 0) → H90
If(C91 < Right, E91, 0) → H91
If(C92 < Right, E92, 0) → H92
If(C93 < Right, E93, 0) → H93
If(C94 < Right, E94, 0) → H94
If(C95 < Right, E95, 0) → H95
If(C96 < Right, E96, 0) → H96
If(C97 < Right, E97, 0) → H97
If(C98 < Right, E98, 0) → H98
If(C99 < Right, E99, 0) → H99
If(C100 < Right, E100, 0) → H100
Sum(H1:H100) → H104
If(C101 < Right, E101, 0) → H101
If(C102 < Right, E102, 0) → H102
If(C1 < Right, F1, 0) → I1
If(C2 < Right, F2, 0) → I2
If(C3 < Right, F3, 0) → I3
If(C4 < Right, F4, 0) → I4
If(C5 < Right, F5, 0) → I5
If(C6 < Right, F6, 0) → I6
If(C7 < Right, F7, 0) → I7
If(C8 < Right, F8, 0) → I8
If(C9 < Right, F9, 0) → I9
If(C10 < Right, F10, 0) → I10
If(C11 < Right, F11, 0) → I11
If(C12 < Right, F12, 0) → I12
If(C13 < Right, F13, 0) → I13
If(C14 < Right, F14, 0) → I14
If(C15 < Right, F15, 0) → I15
If(C16 < Right, F16, 0) → I16
If(C17 < Right, F17, 0) → I17
If(C18 < Right, F18, 0) → I18
If(C19 < Right, F19, 0) → I19
If(C20 < Right, F20, 0) → I20
If(C21 < Right, F21, 0) → I21
If(C22 < Right, F22, 0) → I22
If(C23 < Right, F23, 0) → I23
If(C24 < Right, F24, 0) → I24
If(C25 < Right, F25, 0) → I25
If(C26 < Right, F26, 0) → I26
If(C27 < Right, F27, 0) → I27
If(C28 < Right, F28, 0) → I28
If(C29 < Right, F29, 0) → I29
If(C30 < Right, F30, 0) → I30
If(C31 < Right, F31, 0) → I31
If(C32 < Right, F32, 0) → I32
If(C33 < Right, F33, 0) → I33
If(C34 < Right, F34, 0) → I34
If(C35 < Right, F35, 0) → I35
If(C36 < Right, F36, 0) → I36
If(C37 < Right, F37, 0) → I37
If(C38 < Right, F38, 0) → I38
If(C39 < Right, F39, 0) → I39
If(C40 < Right, F40, 0) → I40
If(C41 < Right, F41, 0) → I41
If(C42 < Right, F42, 0) → I42
If(C43 < Right, F43, 0) → I43
If(C44 < Right, F44, 0) → I44
If(C45 < Right, F45, 0) → I45
If(C46 < Right, F46, 0) → I46
If(C47 < Right, F47, 0) → I47
If(C48 < Right, F48, 0) → I48
If(C49 < Right, F49, 0) → I49
If(C50 < Right, F50, 0) → I50
If(C51 < Right, F51, 0) → I51
If(C52 < Right, F52, 0) → I52
If(C53 < Right, F53, 0) → I53
If(C54 < Right, F54, 0) → I54
If(C55 < Right, F55, 0) → I55
If(C56 < Right, F56, 0) → I56
If(C57 < Right, F57, 0) → I57
If(C58 < Right, F58, 0) → I58
If(C59 < Right, F59, 0) → I59
If(C60 < Right, F60, 0) → I60
If(C61 < Right, F61, 0) → I61
If(C62 < Right, F62, 0) → I62
If(C63 < Right, F63, 0) → I63
If(C64 < Right, F64, 0) → I64
If(C65 < Right, F65, 0) → I65
If(C66 < Right, F66, 0) → I66
If(C67 < Right, F67, 0) → I67
If(C68 < Right, F68, 0) → I68
If(C69 < Right, F69, 0) → I69
If(C70 < Right, F70, 0) → I70
If(C71 < Right, F71, 0) → I71
If(C72 < Right, F72, 0) → I72
If(C73 < Right, F73, 0) → I73
If(C74 < Right, F74, 0) → I74
If(C75 < Right, F75, 0) → I75
If(C76 < Right, F76, 0) → I76
If(C77 < Right, F77, 0) → I77
If(C78 < Right, F78, 0) → I78
If(C79 < Right, F79, 0) → I79
If(C80 < Right, F80, 0) → I80
If(C81 < Right, F81, 0) → I81
If(C82 < Right, F82, 0) → I82
If(C83 < Right, F83, 0) → I83
If(C84 < Right, F84, 0) → I84
If(C85 < Right, F85, 0) → I85
If(C86 < Right, F86, 0) → I86
If(C87 < Right, F87, 0) → I87
If(C88 < Right, F88, 0) → I88
If(C89 < Right, F89, 0) → I89
If(C90 < Right, F90, 0) → I90
If(C91 < Right, F91, 0) → I91
If(C92 < Right, F92, 0) → I92
If(C93 < Right, F93, 0) → I93
If(C94 < Right, F94, 0) → I94
If(C95 < Right, F95, 0) → I95
If(C96 < Right, F96, 0) → I96
If(C97 < Right, F97, 0) → I97
If(C98 < Right, F98, 0) → I98
If(C99 < Right, F99, 0) → I99
If(C100 < Right, F100, 0) → I100
If(C101 < Right, F101, 0) → I101
If(C102 < Right, F102, 0) → I102
Sum(I1:I100) → I104
Integral(f(J1), C1, C2) → K1
Integral(f(J2), C2, C3) → K2
Integral(f(J3), C3, C4) → K3
Integral(f(J4), C4, C5) → K4
Integral(f(J5), C5, C6) → K5
Integral(f(J6), C6, C7) → K6
Integral(f(J7), C7, C8) → K7
Integral(f(J8), C8, C9) → K8
Integral(f(J9), C9, C10) → K9
Integral(f(J10), C10, C11) → K10
Integral(f(J11), C11, C12) → K11
Integral(f(J12), C12, C13) → K12
Integral(f(J13), C13, C14) → K13
Integral(f(J14), C14, C15) → K14
Integral(f(J15), C15, C16) → K15
Integral(f(J16), C16, C17) → K16
Integral(f(J17), C17, C18) → K17
Integral(f(J18), C18, C19) → K18
Integral(f(J19), C19, C20) → K19
Integral(f(J20), C20, C21) → K20
Integral(f(J21), C21, C22) → K21
Integral(f(J22), C22, C23) → K22
Integral(f(J23), C23, C24) → K23
Integral(f(J24), C24, C25) → K24
Integral(f(J25), C25, C26) → K25
Integral(f(J26), C26, C27) → K26
Integral(f(J27), C27, C28) → K27
Integral(f(J28), C28, C29) → K28
Integral(f(J29), C29, C30) → K29
Integral(f(J30), C30, C31) → K30
Integral(f(J31), C31, C32) → K31
Integral(f(J32), C32, C33) → K32
Integral(f(J33), C33, C34) → K33
Integral(f(J34), C34, C35) → K34
Integral(f(J35), C35, C36) → K35
Integral(f(J36), C36, C37) → K36
Integral(f(J37), C37, C38) → K37
Integral(f(J38), C38, C39) → K38
Integral(f(J39), C39, C40) → K39
Integral(f(J40), C40, C41) → K40
Integral(f(J41), C41, C42) → K41
Integral(f(J42), C42, C43) → K42
Integral(f(J43), C43, C44) → K43
Integral(f(J44), C44, C45) → K44
Integral(f(J45), C45, C46) → K45
Integral(f(J46), C46, C47) → K46
Integral(f(J47), C47, C48) → K47
Integral(f(J48), C48, C49) → K48
Integral(f(J49), C49, C50) → K49
Integral(f(J50), C50, C51) → K50
Integral(f(J51), C51, C52) → K51
Integral(f(J52), C52, C53) → K52
Integral(f(J53), C53, C54) → K53
Integral(f(J54), C54, C55) → K54
Integral(f(J55), C55, C56) → K55
Integral(f(J56), C56, C57) → K56
Integral(f(J57), C57, C58) → K57
Integral(f(J58), C58, C59) → K58
Integral(f(J59), C59, C60) → K59
Integral(f(J60), C60, C61) → K60
Integral(f(J61), C61, C62) → K61
Integral(f(J62), C62, C63) → K62
Integral(f(J63), C63, C64) → K63
Integral(f(J64), C64, C65) → K64
Integral(f(J65), C65, C66) → K65
Integral(f(J66), C66, C67) → K66
Integral(f(J67), C67, C68) → K67
Integral(f(J68), C68, C69) → K68
Integral(f(J69), C69, C70) → K69
Integral(f(J70), C70, C71) → K70
Integral(f(J71), C71, C72) → K71
Integral(f(J72), C72, C73) → K72
Integral(f(J73), C73, C74) → K73
Integral(f(J74), C74, C75) → K74
Integral(f(J75), C75, C76) → K75
Integral(f(J76), C76, C77) → K76
Integral(f(J77), C77, C78) → K77
Integral(f(J78), C78, C79) → K78
Integral(f(J79), C79, C80) → K79
Integral(f(J80), C80, C81) → K80
Integral(f(J81), C81, C82) → K81
Integral(f(J82), C82, C83) → K82
Integral(f(J83), C83, C84) → K83
Integral(f(J84), C84, C85) → K84
Integral(f(J85), C85, C86) → K85
Integral(f(J86), C86, C87) → K86
Integral(f(J87), C87, C88) → K87
Integral(f(J88), C88, C89) → K88
Integral(f(J89), C89, C90) → K89
Integral(f(J90), C90, C91) → K90
Integral(f(J91), C91, C92) → K91
Integral(f(J92), C92, C93) → K92
Integral(f(J93), C93, C94) → K93
Integral(f(J94), C94, C95) → K94
Integral(f(J95), C95, C96) → K95
Integral(f(J96), C96, C97) → K96
Integral(f(J97), C97, C98) → K97
Integral(f(J98), C98, C99) → K98
Integral(f(J99), C99, C100) → K99
Integral(f(J100), C100, C101) → K100
Integral(f(J101), C101, C102) → K101
Integral(f(J102), C102, C103) → K102
If(C1 < Right, K1, 0) → L1
If(C2 < Right, K2, 0) → L2
If(C3 < Right, K3, 0) → L3
If(C4 < Right, K4, 0) → L4
If(C5 < Right, K5, 0) → L5
If(C6 < Right, K6, 0) → L6
If(C7 < Right, K7, 0) → L7
If(C8 < Right, K8, 0) → L8
If(C9 < Right, K9, 0) → L9
If(C10 < Right, K10, 0) → L10
If(C11 < Right, K11, 0) → L11
If(C12 < Right, K12, 0) → L12
If(C13 < Right, K13, 0) → L13
If(C14 < Right, K14, 0) → L14
If(C15 < Right, K15, 0) → L15
If(C16 < Right, K16, 0) → L16
If(C17 < Right, K17, 0) → L17
If(C18 < Right, K18, 0) → L18
If(C19 < Right, K19, 0) → L19
If(C20 < Right, K20, 0) → L20
If(C21 < Right, K21, 0) → L21
If(C22 < Right, K22, 0) → L22
If(C23 < Right, K23, 0) → L23
If(C24 < Right, K24, 0) → L24
If(C25 < Right, K25, 0) → L25
If(C26 < Right, K26, 0) → L26
If(C27 < Right, K27, 0) → L27
If(C28 < Right, K28, 0) → L28
If(C29 < Right, K29, 0) → L29
If(C30 < Right, K30, 0) → L30
If(C31 < Right, K31, 0) → L31
If(C32 < Right, K32, 0) → L32
If(C33 < Right, K33, 0) → L33
If(C34 < Right, K34, 0) → L34
If(C35 < Right, K35, 0) → L35
If(C36 < Right, K36, 0) → L36
If(C37 < Right, K37, 0) → L37
If(C38 < Right, K38, 0) → L38
If(C39 < Right, K39, 0) → L39
If(C40 < Right, K40, 0) → L40
If(C41 < Right, K41, 0) → L41
If(C42 < Right, K42, 0) → L42
If(C43 < Right, K43, 0) → L43
If(C44 < Right, K44, 0) → L44
If(C45 < Right, K45, 0) → L45
If(C46 < Right, K46, 0) → L46
If(C47 < Right, K47, 0) → L47
If(C48 < Right, K48, 0) → L48
If(C49 < Right, K49, 0) → L49
If(C50 < Right, K50, 0) → L50
If(C51 < Right, K51, 0) → L51
If(C52 < Right, K52, 0) → L52
If(C53 < Right, K53, 0) → L53
If(C54 < Right, K54, 0) → L54
If(C55 < Right, K55, 0) → L55
If(C56 < Right, K56, 0) → L56
If(C57 < Right, K57, 0) → L57
If(C58 < Right, K58, 0) → L58
If(C59 < Right, K59, 0) → L59
If(C60 < Right, K60, 0) → L60
If(C61 < Right, K61, 0) → L61
If(C62 < Right, K62, 0) → L62
If(C63 < Right, K63, 0) → L63
If(C64 < Right, K64, 0) → L64
If(C65 < Right, K65, 0) → L65
If(C66 < Right, K66, 0) → L66
If(C67 < Right, K67, 0) → L67
If(C68 < Right, K68, 0) → L68
If(C69 < Right, K69, 0) → L69
If(C70 < Right, K70, 0) → L70
If(C71 < Right, K71, 0) → L71
If(C72 < Right, K72, 0) → L72
If(C73 < Right, K73, 0) → L73
If(C74 < Right, K74, 0) → L74
If(C75 < Right, K75, 0) → L75
If(C76 < Right, K76, 0) → L76
If(C77 < Right, K77, 0) → L77
If(C78 < Right, K78, 0) → L78
If(C79 < Right, K79, 0) → L79
If(C80 < Right, K80, 0) → L80
If(C81 < Right, K81, 0) → L81
If(C82 < Right, K82, 0) → L82
If(C83 < Right, K83, 0) → L83
If(C84 < Right, K84, 0) → L84
If(C85 < Right, K85, 0) → L85
If(C86 < Right, K86, 0) → L86
If(C87 < Right, K87, 0) → L87
If(C88 < Right, K88, 0) → L88
If(C89 < Right, K89, 0) → L89
If(C90 < Right, K90, 0) → L90
If(C91 < Right, K91, 0) → L91
If(C92 < Right, K92, 0) → L92
If(C93 < Right, K93, 0) → L93
If(C94 < Right, K94, 0) → L94
If(C95 < Right, K95, 0) → L95
If(C96 < Right, K96, 0) → L96
If(C97 < Right, K97, 0) → L97
If(C98 < Right, K98, 0) → L98
If(C99 < Right, K99, 0) → L99
If(C100 < Right, K100, 0) → L100
Sum(L1:L100) → L104
Integral(f) → p
Integral(f, Left, Right) → l
If(C101 < Right, K101, 0) → L101
If(C102 < Right, K102, 0) → L102
Polygon((C1, 0), (C2, 0), (C2, f(C2)), (C1, f(C1))) → M1, N1, O1, P1, Q1
Polygon((C2, 0), (C3, 0), (C3, f(C3)), (C2, f(C2))) → M2, m, q, r, s
Polygon((C3, 0), (C4, 0), (C4, f(C4)), (C3, f(C3))) → M3, t, a_1, b_1, c_1
Polygon((C4, 0), (C5, 0), (C5, f(C5)), (C4, f(C4))) → M4, d_1, e_1, f_1, g_1
Polygon((C5, 0), (C6, 0), (C6, f(C6)), (C5, f(C5))) → M5, h_1, i_1, j_1, k_1
Polygon((C6, 0), (C7, 0), (C7, f(C7)), (C6, f(C6))) → M6, l_1, m_1, n_1, p_1
Polygon((C7, 0), (C8, 0), (C8, f(C8)), (C7, f(C7))) → M7, q_1, r_1, s_1, t_1
Polygon((C8, 0), (C9, 0), (C9, f(C9)), (C8, f(C8))) → M8, a_2, b_2, c_2, d_2
Polygon((C9, 0), (C10, 0), (C10, f(C10)), (C9, f(C9))) → M9, e_2, f_2, g_2, h_2
Polygon((C10, 0), (C11, 0), (C11, f(C11)), (C10, f(C10))) → M10, i_2, j_2, k_2, l_2
Polygon((C11, 0), (C12, 0), (C12, f(C12)), (C11, f(C11))) → M11, m_2, n_2, p_2, q_2
Polygon((C12, 0), (C13, 0), (C13, f(C13)), (C12, f(C12))) → M12, r_2, s_2, t_2, a_3
Polygon((C13, 0), (C14, 0), (C14, f(C14)), (C13, f(C13))) → M13, b_3, c_3, d_3, e_3
Polygon((C14, 0), (C15, 0), (C15, f(C15)), (C14, f(C14))) → M14, f_3, g_3, h_3, i_3
Polygon((C15, 0), (C16, 0), (C16, f(C16)), (C15, f(C15))) → M15, j_3, k_3, l_3, m_3
Polygon((C16, 0), (C17, 0), (C17, f(C17)), (C16, f(C16))) → M16, n_3, p_3, q_3, r_3
Polygon((C17, 0), (C18, 0), (C18, f(C18)), (C17, f(C17))) → M17, s_3, t_3, a_4, b_4
Polygon((C18, 0), (C19, 0), (C19, f(C19)), (C18, f(C18))) → M18, c_4, d_4, e_4, f_4
Polygon((C19, 0), (C20, 0), (C20, f(C20)), (C19, f(C19))) → M19, g_4, h_4, i_4, j_4
Polygon((C20, 0), (C21, 0), (C21, f(C21)), (C20, f(C20))) → M20, k_4, l_4, m_4, n_4
Polygon((C21, 0), (C22, 0), (C22, f(C22)), (C21, f(C21))) → M21, p_4, q_4, r_4, s_4
Polygon((C22, 0), (C23, 0), (C23, f(C23)), (C22, f(C22))) → M22, t_4, a_5, b_5, c_5
Polygon((C23, 0), (C24, 0), (C24, f(C24)), (C23, f(C23))) → M23, d_5, e_5, f_5, g_5
Polygon((C24, 0), (C25, 0), (C25, f(C25)), (C24, f(C24))) → M24, h_5, i_5, j_5, k_5
Polygon((C25, 0), (C26, 0), (C26, f(C26)), (C25, f(C25))) → M25, l_5, m_5, n_5, p_5
Polygon((C26, 0), (C27, 0), (C27, f(C27)), (C26, f(C26))) → M26, q_5, r_5, s_5, t_5
Polygon((C27, 0), (C28, 0), (C28, f(C28)), (C27, f(C27))) → M27, a_6, b_6, c_6, d_6
Polygon((C28, 0), (C29, 0), (C29, f(C29)), (C28, f(C28))) → M28, e_6, f_6, g_6, h_6
Polygon((C29, 0), (C30, 0), (C30, f(C30)), (C29, f(C29))) → M29, i_6, j_6, k_6, l_6
Polygon((C30, 0), (C31, 0), (C31, f(C31)), (C30, f(C30))) → M30, m_6, n_6, p_6, q_6
Polygon((C31, 0), (C32, 0), (C32, f(C32)), (C31, f(C31))) → M31, r_6, s_6, t_6, a_7
Polygon((C32, 0), (C33, 0), (C33, f(C33)), (C32, f(C32))) → M32, b_7, c_7, d_7, e_7
Polygon((C33, 0), (C34, 0), (C34, f(C34)), (C33, f(C33))) → M33, f_7, g_7, h_7, i_7
Polygon((C34, 0), (C35, 0), (C35, f(C35)), (C34, f(C34))) → M34, j_7, k_7, l_7, m_7
Polygon((C35, 0), (C36, 0), (C36, f(C36)), (C35, f(C35))) → M35, n_7, p_7, q_7, r_7
Polygon((C36, 0), (C37, 0), (C37, f(C37)), (C36, f(C36))) → M36, s_7, t_7, a_8, b_8
Polygon((C37, 0), (C38, 0), (C38, f(C38)), (C37, f(C37))) → M37, c_8, d_8, e_8, f_8
Polygon((C38, 0), (C39, 0), (C39, f(C39)), (C38, f(C38))) → M38, g_8, h_8, i_8, j_8
Polygon((C39, 0), (C40, 0), (C40, f(C40)), (C39, f(C39))) → M39, k_8, l_8, m_8, n_8
Polygon((C40, 0), (C41, 0), (C41, f(C41)), (C40, f(C40))) → M40, p_8, q_8, r_8, s_8
Polygon((C41, 0), (C42, 0), (C42, f(C42)), (C41, f(C41))) → M41, t_8, a_9, b_9, c_9
Polygon((C42, 0), (C43, 0), (C43, f(C43)), (C42, f(C42))) → M42, d_9, e_9, f_9, g_9
Polygon((C43, 0), (C44, 0), (C44, f(C44)), (C43, f(C43))) → M43, h_9, i_9, j_9, k_9
Polygon((C44, 0), (C45, 0), (C45, f(C45)), (C44, f(C44))) → M44, l_9, m_9, n_9, p_9
Polygon((C45, 0), (C46, 0), (C46, f(C46)), (C45, f(C45))) → M45, q_9, r_9, s_9, t_9
Polygon((C46, 0), (C47, 0), (C47, f(C47)), (C46, f(C46))) → M46, a_{10}, b_{10}, c_{10}, d_{10}
Polygon((C47, 0), (C48, 0), (C48, f(C48)), (C47, f(C47))) → M47, e_{10}, f_{10}, g_{10}, h_{10}
Polygon((C48, 0), (C49, 0), (C49, f(C49)), (C48, f(C48))) → M48, i_{10}, j_{10}, k_{10}, l_{10}
Polygon((C49, 0), (C50, 0), (C50, f(C50)), (C49, f(C49))) → M49, m_{10}, n_{10}, p_{10}, q_{10}
Polygon((C50, 0), (C51, 0), (C51, f(C51)), (C50, f(C50))) → M50, r_{10}, s_{10}, t_{10}, a_{11}
Polygon((C51, 0), (C52, 0), (C52, f(C52)), (C51, f(C51))) → M51, b_{11}, c_{11}, d_{11}, e_{11}
Polygon((C52, 0), (C53, 0), (C53, f(C53)), (C52, f(C52))) → M52, f_{11}, g_{11}, h_{11}, i_{11}
Polygon((C53, 0), (C54, 0), (C54, f(C54)), (C53, f(C53))) → M53, j_{11}, k_{11}, l_{11}, m_{11}
Polygon((C54, 0), (C55, 0), (C55, f(C55)), (C54, f(C54))) → M54, n_{11}, p_{11}, q_{11}, r_{11}
Polygon((C55, 0), (C56, 0), (C56, f(C56)), (C55, f(C55))) → M55, s_{11}, t_{11}, a_{12}, b_{12}
Polygon((C56, 0), (C57, 0), (C57, f(C57)), (C56, f(C56))) → M56, c_{12}, d_{12}, e_{12}, f_{12}
Polygon((C57, 0), (C58, 0), (C58, f(C58)), (C57, f(C57))) → M57, g_{12}, h_{12}, i_{12}, j_{12}
Polygon((C58, 0), (C59, 0), (C59, f(C59)), (C58, f(C58))) → M58, k_{12}, l_{12}, m_{12}, n_{12}
Polygon((C59, 0), (C60, 0), (C60, f(C60)), (C59, f(C59))) → M59, p_{12}, q_{12}, r_{12}, s_{12}
Polygon((C60, 0), (C61, 0), (C61, f(C61)), (C60, f(C60))) → M60, t_{12}, a_{13}, b_{13}, c_{13}
Polygon((C61, 0), (C62, 0), (C62, f(C62)), (C61, f(C61))) → M61, d_{13}, e_{13}, f_{13}, g_{13}
Polygon((C62, 0), (C63, 0), (C63, f(C63)), (C62, f(C62))) → M62, h_{13}, i_{13}, j_{13}, k_{13}
Polygon((C63, 0), (C64, 0), (C64, f(C64)), (C63, f(C63))) → M63, l_{13}, m_{13}, n_{13}, p_{13}
Polygon((C64, 0), (C65, 0), (C65, f(C65)), (C64, f(C64))) → M64, q_{13}, r_{13}, s_{13}, t_{13}
Polygon((C65, 0), (C66, 0), (C66, f(C66)), (C65, f(C65))) → M65, a_{14}, b_{14}, c_{14}, d_{14}
Polygon((C66, 0), (C67, 0), (C67, f(C67)), (C66, f(C66))) → M66, e_{14}, f_{14}, g_{14}, h_{14}
Polygon((C67, 0), (C68, 0), (C68, f(C68)), (C67, f(C67))) → M67, i_{14}, j_{14}, k_{14}, l_{14}
Polygon((C68, 0), (C69, 0), (C69, f(C69)), (C68, f(C68))) → M68, m_{14}, n_{14}, p_{14}, q_{14}
Polygon((C69, 0), (C70, 0), (C70, f(C70)), (C69, f(C69))) → M69, r_{14}, s_{14}, t_{14}, a_{15}
Polygon((C70, 0), (C71, 0), (C71, f(C71)), (C70, f(C70))) → M70, b_{15}, c_{15}, d_{15}, e_{15}
Polygon((C71, 0), (C72, 0), (C72, f(C72)), (C71, f(C71))) → M71, f_{15}, g_{15}, h_{15}, i_{15}
Polygon((C72, 0), (C73, 0), (C73, f(C73)), (C72, f(C72))) → M72, j_{15}, k_{15}, l_{15}, m_{15}
Polygon((C73, 0), (C74, 0), (C74, f(C74)), (C73, f(C73))) → M73, n_{15}, p_{15}, q_{15}, r_{15}
Polygon((C74, 0), (C75, 0), (C75, f(C75)), (C74, f(C74))) → M74, s_{15}, t_{15}, a_{16}, b_{16}
Polygon((C75, 0), (C76, 0), (C76, f(C76)), (C75, f(C75))) → M75, c_{16}, d_{16}, e_{16}, f_{16}
Polygon((C76, 0), (C77, 0), (C77, f(C77)), (C76, f(C76))) → M76, g_{16}, h_{16}, i_{16}, j_{16}
Polygon((C77, 0), (C78, 0), (C78, f(C78)), (C77, f(C77))) → M77, k_{16}, l_{16}, m_{16}, n_{16}
Polygon((C78, 0), (C79, 0), (C79, f(C79)), (C78, f(C78))) → M78, p_{16}, q_{16}, r_{16}, s_{16}
Polygon((C79, 0), (C80, 0), (C80, f(C80)), (C79, f(C79))) → M79, t_{16}, a_{17}, b_{17}, c_{17}
Polygon((C80, 0), (C81, 0), (C81, f(C81)), (C80, f(C80))) → M80, d_{17}, e_{17}, f_{17}, g_{17}
Polygon((C81, 0), (C82, 0), (C82, f(C82)), (C81, f(C81))) → M81, h_{17}, i_{17}, j_{17}, k_{17}
Polygon((C82, 0), (C83, 0), (C83, f(C83)), (C82, f(C82))) → M82, l_{17}, m_{17}, n_{17}, p_{17}
Polygon((C83, 0), (C84, 0), (C84, f(C84)), (C83, f(C83))) → M83, q_{17}, r_{17}, s_{17}, t_{17}
Polygon((C84, 0), (C85, 0), (C85, f(C85)), (C84, f(C84))) → M84, a_{18}, b_{18}, c_{18}, d_{18}
Polygon((C85, 0), (C86, 0), (C86, f(C86)), (C85, f(C85))) → M85, e_{18}, f_{18}, g_{18}, h_{18}
Polygon((C86, 0), (C87, 0), (C87, f(C87)), (C86, f(C86))) → M86, i_{18}, j_{18}, k_{18}, l_{18}
Polygon((C87, 0), (C88, 0), (C88, f(C88)), (C87, f(C87))) → M87, m_{18}, n_{18}, p_{18}, q_{18}
Polygon((C88, 0), (C89, 0), (C89, f(C89)), (C88, f(C88))) → M88, r_{18}, s_{18}, t_{18}, a_{19}
Polygon((C89, 0), (C90, 0), (C90, f(C90)), (C89, f(C89))) → M89, b_{19}, c_{19}, d_{19}, e_{19}
Polygon((C90, 0), (C91, 0), (C91, f(C91)), (C90, f(C90))) → M90, f_{19}, g_{19}, h_{19}, i_{19}
Polygon((C91, 0), (C92, 0), (C92, f(C92)), (C91, f(C91))) → M91, j_{19}, k_{19}, l_{19}, m_{19}
Polygon((C92, 0), (C93, 0), (C93, f(C93)), (C92, f(C92))) → M92, n_{19}, p_{19}, q_{19}, r_{19}
Polygon((C93, 0), (C94, 0), (C94, f(C94)), (C93, f(C93))) → M93, s_{19}, t_{19}, a_{20}, b_{20}
Polygon((C94, 0), (C95, 0), (C95, f(C95)), (C94, f(C94))) → M94, c_{20}, d_{20}, e_{20}, f_{20}
Polygon((C95, 0), (C96, 0), (C96, f(C96)), (C95, f(C95))) → M95, g_{20}, h_{20}, i_{20}, j_{20}
Polygon((C96, 0), (C97, 0), (C97, f(C97)), (C96, f(C96))) → M96, k_{20}, l_{20}, m_{20}, n_{20}
Polygon((C97, 0), (C98, 0), (C98, f(C98)), (C97, f(C97))) → M97, p_{20}, q_{20}, r_{20}, s_{20}
Polygon((C98, 0), (C99, 0), (C99, f(C99)), (C98, f(C98))) → M98, t_{20}, a_{21}, b_{21}, c_{21}
Polygon((C99, 0), (C100, 0), (C100, f(C100)), (C99, f(C99))) → M99, d_{21}, e_{21}, f_{21}, g_{21}
Polygon((C100, 0), (C101, 0), (C101, f(C101)), (C100, f(C100))) → M100, h_{21}, i_{21}, j_{21}, k_{21}
Polygon((C101, 0), (C102, 0), (C102, f(C102)), (C101, f(C101))) → M101, l_{21}, m_{21}, n_{21}, p_{21}
Polygon((C102, 0), (C103, 0), (C103, f(C103)), (C102, f(C102))) → M102, q_{21}, r_{21}, s_{21}, t_{21}
Segment((C1, f(C1)), (C2, f(C2))) → R1
Segment((C2, f(C2)), (C3, f(C3))) → R2
Segment((C3, f(C3)), (C4, f(C4))) → R3
Segment((C4, f(C4)), (C5, f(C5))) → R4
Segment((C5, f(C5)), (C6, f(C6))) → R5
Segment((C6, f(C6)), (C7, f(C7))) → R6
Segment((C7, f(C7)), (C8, f(C8))) → R7
Segment((C8, f(C8)), (C9, f(C9))) → R8
Segment((C9, f(C9)), (C10, f(C10))) → R9
Segment((C10, f(C10)), (C11, f(C11))) → R10
Segment((C11, f(C11)), (C12, f(C12))) → R11
Segment((C12, f(C12)), (C13, f(C13))) → R12
Segment((C13, f(C13)), (C14, f(C14))) → R13
Segment((C14, f(C14)), (C15, f(C15))) → R14
Segment((C15, f(C15)), (C16, f(C16))) → R15
Segment((C16, f(C16)), (C17, f(C17))) → R16
Segment((C17, f(C17)), (C18, f(C18))) → R17
Segment((C18, f(C18)), (C19, f(C19))) → R18
Segment((C19, f(C19)), (C20, f(C20))) → R19
Segment((C20, f(C20)), (C21, f(C21))) → R20
Segment((C21, f(C21)), (C22, f(C22))) → R21
Segment((C22, f(C22)), (C23, f(C23))) → R22
Segment((C23, f(C23)), (C24, f(C24))) → R23
Segment((C24, f(C24)), (C25, f(C25))) → R24
Segment((C25, f(C25)), (C26, f(C26))) → R25
Segment((C26, f(C26)), (C27, f(C27))) → R26
Segment((C27, f(C27)), (C28, f(C28))) → R27
Segment((C28, f(C28)), (C29, f(C29))) → R28
Segment((C29, f(C29)), (C30, f(C30))) → R29
Segment((C30, f(C30)), (C31, f(C31))) → R30
Segment((C31, f(C31)), (C32, f(C32))) → R31
Segment((C32, f(C32)), (C33, f(C33))) → R32
Segment((C33, f(C33)), (C34, f(C34))) → R33
Segment((C34, f(C34)), (C35, f(C35))) → R34
Segment((C35, f(C35)), (C36, f(C36))) → R35
Segment((C36, f(C36)), (C37, f(C37))) → R36
Segment((C37, f(C37)), (C38, f(C38))) → R37
Segment((C38, f(C38)), (C39, f(C39))) → R38
Segment((C39, f(C39)), (C40, f(C40))) → R39
Segment((C40, f(C40)), (C41, f(C41))) → R40
Segment((C41, f(C41)), (C42, f(C42))) → R41
Segment((C42, f(C42)), (C43, f(C43))) → R42
Segment((C43, f(C43)), (C44, f(C44))) → R43
Segment((C44, f(C44)), (C45, f(C45))) → R44
Segment((C45, f(C45)), (C46, f(C46))) → R45
Segment((C46, f(C46)), (C47, f(C47))) → R46
Segment((C47, f(C47)), (C48, f(C48))) → R47
Segment((C48, f(C48)), (C49, f(C49))) → R48
Segment((C49, f(C49)), (C50, f(C50))) → R49
Segment((C50, f(C50)), (C51, f(C51))) → R50
Segment((C51, f(C51)), (C52, f(C52))) → R51
Segment((C52, f(C52)), (C53, f(C53))) → R52
Segment((C53, f(C53)), (C54, f(C54))) → R53
Segment((C54, f(C54)), (C55, f(C55))) → R54
Segment((C55, f(C55)), (C56, f(C56))) → R55
Segment((C56, f(C56)), (C57, f(C57))) → R56
Segment((C57, f(C57)), (C58, f(C58))) → R57
Segment((C58, f(C58)), (C59, f(C59))) → R58
Segment((C59, f(C59)), (C60, f(C60))) → R59
Segment((C60, f(C60)), (C61, f(C61))) → R60
Segment((C61, f(C61)), (C62, f(C62))) → R61
Segment((C62, f(C62)), (C63, f(C63))) → R62
Segment((C63, f(C63)), (C64, f(C64))) → R63
Segment((C64, f(C64)), (C65, f(C65))) → R64
Segment((C65, f(C65)), (C66, f(C66))) → R65
Segment((C66, f(C66)), (C67, f(C67))) → R66
Segment((C67, f(C67)), (C68, f(C68))) → R67
Segment((C68, f(C68)), (C69, f(C69))) → R68
Segment((C69, f(C69)), (C70, f(C70))) → R69
Segment((C70, f(C70)), (C71, f(C71))) → R70
Segment((C71, f(C71)), (C72, f(C72))) → R71
Segment((C72, f(C72)), (C73, f(C73))) → R72
Segment((C73, f(C73)), (C74, f(C74))) → R73
Segment((C74, f(C74)), (C75, f(C75))) → R74
Segment((C75, f(C75)), (C76, f(C76))) → R75
Segment((C76, f(C76)), (C77, f(C77))) → R76
Segment((C77, f(C77)), (C78, f(C78))) → R77
Segment((C78, f(C78)), (C79, f(C79))) → R78
Segment((C79, f(C79)), (C80, f(C80))) → R79
Segment((C80, f(C80)), (C81, f(C81))) → R80
Segment((C81, f(C81)), (C82, f(C82))) → R81
Segment((C82, f(C82)), (C83, f(C83))) → R82
Segment((C83, f(C83)), (C84, f(C84))) → R83
Segment((C84, f(C84)), (C85, f(C85))) → R84
Segment((C85, f(C85)), (C86, f(C86))) → R85
Segment((C86, f(C86)), (C87, f(C87))) → R86
Segment((C87, f(C87)), (C88, f(C88))) → R87
Segment((C88, f(C88)), (C89, f(C89))) → R88
Segment((C89, f(C89)), (C90, f(C90))) → R89
Segment((C90, f(C90)), (C91, f(C91))) → R90
Segment((C91, f(C91)), (C92, f(C92))) → R91
Segment((C92, f(C92)), (C93, f(C93))) → R92
Segment((C93, f(C93)), (C94, f(C94))) → R93
Segment((C94, f(C94)), (C95, f(C95))) → R94
Segment((C95, f(C95)), (C96, f(C96))) → R95
Segment((C96, f(C96)), (C97, f(C97))) → R96
Segment((C97, f(C97)), (C98, f(C98))) → R97
Segment((C98, f(C98)), (C99, f(C99))) → R98
Segment((C99, f(C99)), (C100, f(C100))) → R99
Segment((C100, f(C100)), (C101, f(C101))) → R100
Segment((C101, f(C101)), (C102, f(C102))) → R101
Segment((C102, f(C102)), (C103, f(C103))) → R102
If(C2 ≤ Right, If[f(C1) < f(C2), 0, 1], 0) → S1
If(C3 ≤ Right, If[f(C2) < f(C3), 0, 1], 0) → S2
If(C4 ≤ Right, If[f(C3) < f(C4), 0, 1], 0) → S3
If(C5 ≤ Right, If[f(C4) < f(C5), 0, 1], 0) → S4
If(C6 ≤ Right, If[f(C5) < f(C6), 0, 1], 0) → S5
If(C7 ≤ Right, If[f(C6) < f(C7), 0, 1], 0) → S6
If(C8 ≤ Right, If[f(C7) < f(C8), 0, 1], 0) → S7
If(C9 ≤ Right, If[f(C8) < f(C9), 0, 1], 0) → S8
If(C10 ≤ Right, If[f(C9) < f(C10), 0, 1], 0) → S9
If(C11 ≤ Right, If[f(C10) < f(C11), 0, 1], 0) → S10
If(C12 ≤ Right, If[f(C11) < f(C12), 0, 1], 0) → S11
If(C13 ≤ Right, If[f(C12) < f(C13), 0, 1], 0) → S12
If(C14 ≤ Right, If[f(C13) < f(C14), 0, 1], 0) → S13
If(C15 ≤ Right, If[f(C14) < f(C15), 0, 1], 0) → S14
If(C16 ≤ Right, If[f(C15) < f(C16), 0, 1], 0) → S15
If(C17 ≤ Right, If[f(C16) < f(C17), 0, 1], 0) → S16
If(C18 ≤ Right, If[f(C17) < f(C18), 0, 1], 0) → S17
If(C19 ≤ Right, If[f(C18) < f(C19), 0, 1], 0) → S18
If(C20 ≤ Right, If[f(C19) < f(C20), 0, 1], 0) → S19
If(C21 ≤ Right, If[f(C20) < f(C21), 0, 1], 0) → S20
If(C22 ≤ Right, If[f(C21) < f(C22), 0, 1], 0) → S21
If(C23 ≤ Right, If[f(C22) < f(C23), 0, 1], 0) → S22
If(C24 ≤ Right, If[f(C23) < f(C24), 0, 1], 0) → S23
If(C25 ≤ Right, If[f(C24) < f(C25), 0, 1], 0) → S24
If(C26 ≤ Right, If[f(C25) < f(C26), 0, 1], 0) → S25
If(C27 ≤ Right, If[f(C26) < f(C27), 0, 1], 0) → S26
If(C28 ≤ Right, If[f(C27) < f(C28), 0, 1], 0) → S27
If(C29 ≤ Right, If[f(C28) < f(C29), 0, 1], 0) → S28
If(C30 ≤ Right, If[f(C29) < f(C30), 0, 1], 0) → S29
If(C31 ≤ Right, If[f(C30) < f(C31), 0, 1], 0) → S30
If(C32 ≤ Right, If[f(C31) < f(C32), 0, 1], 0) → S31
If(C33 ≤ Right, If[f(C32) < f(C33), 0, 1], 0) → S32
If(C34 ≤ Right, If[f(C33) < f(C34), 0, 1], 0) → S33
If(C35 ≤ Right, If[f(C34) < f(C35), 0, 1], 0) → S34
If(C36 ≤ Right, If[f(C35) < f(C36), 0, 1], 0) → S35
If(C37 ≤ Right, If[f(C36) < f(C37), 0, 1], 0) → S36
If(C38 ≤ Right, If[f(C37) < f(C38), 0, 1], 0) → S37
If(C39 ≤ Right, If[f(C38) < f(C39), 0, 1], 0) → S38
If(C40 ≤ Right, If[f(C39) < f(C40), 0, 1], 0) → S39
If(C41 ≤ Right, If[f(C40) < f(C41), 0, 1], 0) → S40
If(C42 ≤ Right, If[f(C41) < f(C42), 0, 1], 0) → S41
If(C43 ≤ Right, If[f(C42) < f(C43), 0, 1], 0) → S42
If(C44 ≤ Right, If[f(C43) < f(C44), 0, 1], 0) → S43
If(C45 ≤ Right, If[f(C44) < f(C45), 0, 1], 0) → S44
If(C46 ≤ Right, If[f(C45) < f(C46), 0, 1], 0) → S45
If(C47 ≤ Right, If[f(C46) < f(C47), 0, 1], 0) → S46
If(C48 ≤ Right, If[f(C47) < f(C48), 0, 1], 0) → S47
If(C49 ≤ Right, If[f(C48) < f(C49), 0, 1], 0) → S48
If(C50 ≤ Right, If[f(C49) < f(C50), 0, 1], 0) → S49
If(C51 ≤ Right, If[f(C50) < f(C51), 0, 1], 0) → S50
If(C52 ≤ Right, If[f(C51) < f(C52), 0, 1], 0) → S51
If(C53 ≤ Right, If[f(C52) < f(C53), 0, 1], 0) → S52
If(C54 ≤ Right, If[f(C53) < f(C54), 0, 1], 0) → S53
If(C55 ≤ Right, If[f(C54) < f(C55), 0, 1], 0) → S54
If(C56 ≤ Right, If[f(C55) < f(C56), 0, 1], 0) → S55
If(C57 ≤ Right, If[f(C56) < f(C57), 0, 1], 0) → S56
If(C58 ≤ Right, If[f(C57) < f(C58), 0, 1], 0) → S57
If(C59 ≤ Right, If[f(C58) < f(C59), 0, 1], 0) → S58
If(C60 ≤ Right, If[f(C59) < f(C60), 0, 1], 0) → S59
If(C61 ≤ Right, If[f(C60) < f(C61), 0, 1], 0) → S60
If(C62 ≤ Right, If[f(C61) < f(C62), 0, 1], 0) → S61
If(C63 ≤ Right, If[f(C62) < f(C63), 0, 1], 0) → S62
If(C64 ≤ Right, If[f(C63) < f(C64), 0, 1], 0) → S63
If(C65 ≤ Right, If[f(C64) < f(C65), 0, 1], 0) → S64
If(C66 ≤ Right, If[f(C65) < f(C66), 0, 1], 0) → S65
If(C67 ≤ Right, If[f(C66) < f(C67), 0, 1], 0) → S66
If(C68 ≤ Right, If[f(C67) < f(C68), 0, 1], 0) → S67
If(C69 ≤ Right, If[f(C68) < f(C69), 0, 1], 0) → S68
If(C70 ≤ Right, If[f(C69) < f(C70), 0, 1], 0) → S69
If(C71 ≤ Right, If[f(C70) < f(C71), 0, 1], 0) → S70
If(C72 ≤ Right, If[f(C71) < f(C72), 0, 1], 0) → S71
If(C73 ≤ Right, If[f(C72) < f(C73), 0, 1], 0) → S72
If(C74 ≤ Right, If[f(C73) < f(C74), 0, 1], 0) → S73
If(C75 ≤ Right, If[f(C74) < f(C75), 0, 1], 0) → S74
If(C76 ≤ Right, If[f(C75) < f(C76), 0, 1], 0) → S75
If(C77 ≤ Right, If[f(C76) < f(C77), 0, 1], 0) → S76
If(C78 ≤ Right, If[f(C77) < f(C78), 0, 1], 0) → S77
If(C79 ≤ Right, If[f(C78) < f(C79), 0, 1], 0) → S78
If(C80 ≤ Right, If[f(C79) < f(C80), 0, 1], 0) → S79
If(C81 ≤ Right, If[f(C80) < f(C81), 0, 1], 0) → S80
If(C82 ≤ Right, If[f(C81) < f(C82), 0, 1], 0) → S81
If(C83 ≤ Right, If[f(C82) < f(C83), 0, 1], 0) → S82
If(C84 ≤ Right, If[f(C83) < f(C84), 0, 1], 0) → S83
If(C85 ≤ Right, If[f(C84) < f(C85), 0, 1], 0) → S84
If(C86 ≤ Right, If[f(C85) < f(C86), 0, 1], 0) → S85
If(C87 ≤ Right, If[f(C86) < f(C87), 0, 1], 0) → S86
If(C88 ≤ Right, If[f(C87) < f(C88), 0, 1], 0) → S87
If(C89 ≤ Right, If[f(C88) < f(C89), 0, 1], 0) → S88
If(C90 ≤ Right, If[f(C89) < f(C90), 0, 1], 0) → S89
If(C91 ≤ Right, If[f(C90) < f(C91), 0, 1], 0) → S90
If(C92 ≤ Right, If[f(C91) < f(C92), 0, 1], 0) → S91
If(C93 ≤ Right, If[f(C92) < f(C93), 0, 1], 0) → S92
If(C94 ≤ Right, If[f(C93) < f(C94), 0, 1], 0) → S93
If(C95 ≤ Right, If[f(C94) < f(C95), 0, 1], 0) → S94
If(C96 ≤ Right, If[f(C95) < f(C96), 0, 1], 0) → S95
If(C97 ≤ Right, If[f(C96) < f(C97), 0, 1], 0) → S96
If(C98 ≤ Right, If[f(C97) < f(C98), 0, 1], 0) → S97
If(C99 ≤ Right, If[f(C98) < f(C99), 0, 1], 0) → S98
If(C100 ≤ Right, If[f(C99) < f(C100), 0, 1], 0) → S99
If(C101 ≤ Right, If[f(C100) < f(C101), 0, 1], 0) → S100
If(C102 ≤ Right, If[f(C101) < f(C102), 0, 1], 0) → S101
If(C103 ≤ Right, If[f(C102) < f(C103), 0, 1], 0) → S102
If(C2 ≤ Right, If[f(C1) > f(C2), 0, 1], 0) → T1
If(C3 ≤ Right, If[f(C2) > f(C3), 0, 1], 0) → T2
If(C4 ≤ Right, If[f(C3) > f(C4), 0, 1], 0) → T3
If(C5 ≤ Right, If[f(C4) > f(C5), 0, 1], 0) → T4
If(C6 ≤ Right, If[f(C5) > f(C6), 0, 1], 0) → T5
If(C7 ≤ Right, If[f(C6) > f(C7), 0, 1], 0) → T6
If(C8 ≤ Right, If[f(C7) > f(C8), 0, 1], 0) → T7
If(C9 ≤ Right, If[f(C8) > f(C9), 0, 1], 0) → T8
If(C10 ≤ Right, If[f(C9) > f(C10), 0, 1], 0) → T9
If(C11 ≤ Right, If[f(C10) > f(C11), 0, 1], 0) → T10
If(C12 ≤ Right, If[f(C11) > f(C12), 0, 1], 0) → T11
If(C13 ≤ Right, If[f(C12) > f(C13), 0, 1], 0) → T12
If(C14 ≤ Right, If[f(C13) > f(C14), 0, 1], 0) → T13
If(C15 ≤ Right, If[f(C14) > f(C15), 0, 1], 0) → T14
If(C16 ≤ Right, If[f(C15) > f(C16), 0, 1], 0) → T15
If(C17 ≤ Right, If[f(C16) > f(C17), 0, 1], 0) → T16
If(C18 ≤ Right, If[f(C17) > f(C18), 0, 1], 0) → T17
If(C19 ≤ Right, If[f(C18) > f(C19), 0, 1], 0) → T18
If(C20 ≤ Right, If[f(C19) > f(C20), 0, 1], 0) → T19
If(C21 ≤ Right, If[f(C20) > f(C21), 0, 1], 0) → T20
If(C22 ≤ Right, If[f(C21) > f(C22), 0, 1], 0) → T21
If(C23 ≤ Right, If[f(C22) > f(C23), 0, 1], 0) → T22
If(C24 ≤ Right, If[f(C23) > f(C24), 0, 1], 0) → T23
If(C25 ≤ Right, If[f(C24) > f(C25), 0, 1], 0) → T24
If(C26 ≤ Right, If[f(C25) > f(C26), 0, 1], 0) → T25
If(C27 ≤ Right, If[f(C26) > f(C27), 0, 1], 0) → T26
If(C28 ≤ Right, If[f(C27) > f(C28), 0, 1], 0) → T27
If(C29 ≤ Right, If[f(C28) > f(C29), 0, 1], 0) → T28
If(C30 ≤ Right, If[f(C29) > f(C30), 0, 1], 0) → T29
If(C31 ≤ Right, If[f(C30) > f(C31), 0, 1], 0) → T30
If(C32 ≤ Right, If[f(C31) > f(C32), 0, 1], 0) → T31
If(C33 ≤ Right, If[f(C32) > f(C33), 0, 1], 0) → T32
If(C34 ≤ Right, If[f(C33) > f(C34), 0, 1], 0) → T33
If(C35 ≤ Right, If[f(C34) > f(C35), 0, 1], 0) → T34
If(C36 ≤ Right, If[f(C35) > f(C36), 0, 1], 0) → T35
If(C37 ≤ Right, If[f(C36) > f(C37), 0, 1], 0) → T36
If(C38 ≤ Right, If[f(C37) > f(C38), 0, 1], 0) → T37
If(C39 ≤ Right, If[f(C38) > f(C39), 0, 1], 0) → T38
If(C40 ≤ Right, If[f(C39) > f(C40), 0, 1], 0) → T39
If(C41 ≤ Right, If[f(C40) > f(C41), 0, 1], 0) → T40
If(C42 ≤ Right, If[f(C41) > f(C42), 0, 1], 0) → T41
If(C43 ≤ Right, If[f(C42) > f(C43), 0, 1], 0) → T42
If(C44 ≤ Right, If[f(C43) > f(C44), 0, 1], 0) → T43
If(C45 ≤ Right, If[f(C44) > f(C45), 0, 1], 0) → T44
If(C46 ≤ Right, If[f(C45) > f(C46), 0, 1], 0) → T45
If(C47 ≤ Right, If[f(C46) > f(C47), 0, 1], 0) → T46
If(C48 ≤ Right, If[f(C47) > f(C48), 0, 1], 0) → T47
If(C49 ≤ Right, If[f(C48) > f(C49), 0, 1], 0) → T48
If(C50 ≤ Right, If[f(C49) > f(C50), 0, 1], 0) → T49
If(C51 ≤ Right, If[f(C50) > f(C51), 0, 1], 0) → T50
If(C52 ≤ Right, If[f(C51) > f(C52), 0, 1], 0) → T51
If(C53 ≤ Right, If[f(C52) > f(C53), 0, 1], 0) → T52
If(C54 ≤ Right, If[f(C53) > f(C54), 0, 1], 0) → T53
If(C55 ≤ Right, If[f(C54) > f(C55), 0, 1], 0) → T54
If(C56 ≤ Right, If[f(C55) > f(C56), 0, 1], 0) → T55
If(C57 ≤ Right, If[f(C56) > f(C57), 0, 1], 0) → T56
If(C58 ≤ Right, If[f(C57) > f(C58), 0, 1], 0) → T57
If(C59 ≤ Right, If[f(C58) > f(C59), 0, 1], 0) → T58
If(C60 ≤ Right, If[f(C59) > f(C60), 0, 1], 0) → T59
If(C61 ≤ Right, If[f(C60) > f(C61), 0, 1], 0) → T60
If(C62 ≤ Right, If[f(C61) > f(C62), 0, 1], 0) → T61
If(C63 ≤ Right, If[f(C62) > f(C63), 0, 1], 0) → T62
If(C64 ≤ Right, If[f(C63) > f(C64), 0, 1], 0) → T63
If(C65 ≤ Right, If[f(C64) > f(C65), 0, 1], 0) → T64
If(C66 ≤ Right, If[f(C65) > f(C66), 0, 1], 0) → T65
If(C67 ≤ Right, If[f(C66) > f(C67), 0, 1], 0) → T66
If(C68 ≤ Right, If[f(C67) > f(C68), 0, 1], 0) → T67
If(C69 ≤ Right, If[f(C68) > f(C69), 0, 1], 0) → T68
If(C70 ≤ Right, If[f(C69) > f(C70), 0, 1], 0) → T69
If(C71 ≤ Right, If[f(C70) > f(C71), 0, 1], 0) → T70
If(C72 ≤ Right, If[f(C71) > f(C72), 0, 1], 0) → T71
If(C73 ≤ Right, If[f(C72) > f(C73), 0, 1], 0) → T72
If(C74 ≤ Right, If[f(C73) > f(C74), 0, 1], 0) → T73
If(C75 ≤ Right, If[f(C74) > f(C75), 0, 1], 0) → T74
If(C76 ≤ Right, If[f(C75) > f(C76), 0, 1], 0) → T75
If(C77 ≤ Right, If[f(C76) > f(C77), 0, 1], 0) → T76
If(C78 ≤ Right, If[f(C77) > f(C78), 0, 1], 0) → T77
If(C79 ≤ Right, If[f(C78) > f(C79), 0, 1], 0) → T78
If(C80 ≤ Right, If[f(C79) > f(C80), 0, 1], 0) → T79
If(C81 ≤ Right, If[f(C80) > f(C81), 0, 1], 0) → T80
If(C82 ≤ Right, If[f(C81) > f(C82), 0, 1], 0) → T81
If(C83 ≤ Right, If[f(C82) > f(C83), 0, 1], 0) → T82
If(C84 ≤ Right, If[f(C83) > f(C84), 0, 1], 0) → T83
If(C85 ≤ Right, If[f(C84) > f(C85), 0, 1], 0) → T84
If(C86 ≤ Right, If[f(C85) > f(C86), 0, 1], 0) → T85
If(C87 ≤ Right, If[f(C86) > f(C87), 0, 1], 0) → T86
If(C88 ≤ Right, If[f(C87) > f(C88), 0, 1], 0) → T87
If(C89 ≤ Right, If[f(C88) > f(C89), 0, 1], 0) → T88
If(C90 ≤ Right, If[f(C89) > f(C90), 0, 1], 0) → T89
If(C91 ≤ Right, If[f(C90) > f(C91), 0, 1], 0) → T90
If(C92 ≤ Right, If[f(C91) > f(C92), 0, 1], 0) → T91
If(C93 ≤ Right, If[f(C92) > f(C93), 0, 1], 0) → T92
If(C94 ≤ Right, If[f(C93) > f(C94), 0, 1], 0) → T93
If(C95 ≤ Right, If[f(C94) > f(C95), 0, 1], 0) → T94
If(C96 ≤ Right, If[f(C95) > f(C96), 0, 1], 0) → T95
If(C97 ≤ Right, If[f(C96) > f(C97), 0, 1], 0) → T96
If(C98 ≤ Right, If[f(C97) > f(C98), 0, 1], 0) → T97
If(C99 ≤ Right, If[f(C98) > f(C99), 0, 1], 0) → T98
If(C100 ≤ Right, If[f(C99) > f(C100), 0, 1], 0) → T99
If(C101 ≤ Right, If[f(C100) > f(C101), 0, 1], 0) → T100
If(C102 ≤ Right, If[f(C101) > f(C102), 0, 1], 0) → T101
If(C103 ≤ Right, If[f(C102) > f(C103), 0, 1], 0) → T102
Sum(S1:S102) → S104
Sum(T1:T102) → T104
If(S104 ≟ n ∨ T104 ≟ n, 1) → U104
Segment((Right + (3 * $A$4), f(C2)), (Right + (4 * $A$4), f(C2))) → G2
Segment((Right + (3 * $A$4), f(C3)), (Right + (4 * $A$4), f(C3))) → G3
Segment((Right + (3 * $A$4), f(C4)), (Right + (4 * $A$4), f(C4))) → G4
Segment((Right + (3 * $A$4), f(C5)), (Right + (4 * $A$4), f(C5))) → G5
Segment((Right + (3 * $A$4), f(C6)), (Right + (4 * $A$4), f(C6))) → G6
Segment((Right + (3 * $A$4), f(C7)), (Right + (4 * $A$4), f(C7))) → G7
Segment((Right + (3 * $A$4), f(C8)), (Right + (4 * $A$4), f(C8))) → G8
Segment((Right + (3 * $A$4), f(C9)), (Right + (4 * $A$4), f(C9))) → G9
Segment((Right + (3 * $A$4), f(C10)), (Right + (4 * $A$4), f(C10))) → G10
Segment((Right + (3 * $A$4), f(C11)), (Right + (4 * $A$4), f(C11))) → G11
Segment((Right + (3 * $A$4), f(C13)), (Right + (4 * $A$4), f(C13))) → G13
Segment((Right + (3 * $A$4), f(C14)), (Right + (4 * $A$4), f(C14))) → G14
Segment((Right + (3 * $A$4), f(C15)), (Right + (4 * $A$4), f(C15))) → G15
Segment((Right + (3 * $A$4), f(C16)), (Right + (4 * $A$4), f(C16))) → G16
Segment((Right + (3 * $A$4), f(C17)), (Right + (4 * $A$4), f(C17))) → G17
Segment((Right + (3 * $A$4), f(C18)), (Right + (4 * $A$4), f(C18))) → G18
Segment((Right + (3 * $A$4), f(C19)), (Right + (4 * $A$4), f(C19))) → G19
Segment((Right + (3 * $A$4), f(C20)), (Right + (4 * $A$4), f(C20))) → G20
Segment((Right + (3 * $A$4), f(C21)), (Right + (4 * $A$4), f(C21))) → G21
Segment((Right + (3 * $A$4), f(C22)), (Right + (4 * $A$4), f(C22))) → G22
Segment((Right + (3 * $A$4), f(C23)), (Right + (4 * $A$4), f(C23))) → G23
Segment((Right + (3 * $A$4), f(C24)), (Right + (4 * $A$4), f(C24))) → G24
Segment((Right + (3 * $A$4), f(C25)), (Right + (4 * $A$4), f(C25))) → G25
Segment((Right + (3 * $A$4), f(C26)), (Right + (4 * $A$4), f(C26))) → G26
Segment((Right + (3 * $A$4), f(C27)), (Right + (4 * $A$4), f(C27))) → G27
Segment((Right + (3 * $A$4), f(C28)), (Right + (4 * $A$4), f(C28))) → G28
Segment((Right + (3 * $A$4), f(C29)), (Right + (4 * $A$4), f(C29))) → G29
Segment((Right + (3 * $A$4), f(C30)), (Right + (4 * $A$4), f(C30))) → G30
Segment((Right + (3 * $A$4), f(C31)), (Right + (4 * $A$4), f(C31))) → G31
Segment((Right + (3 * $A$4), f(C32)), (Right + (4 * $A$4), f(C32))) → G32
Segment((Right + (3 * $A$4), f(C33)), (Right + (4 * $A$4), f(C33))) → G33
Segment((Right + (3 * $A$4), f(C34)), (Right + (4 * $A$4), f(C34))) → G34
Segment((Right + (3 * $A$4), f(C35)), (Right + (4 * $A$4), f(C35))) → G35
Segment((Right + (3 * $A$4), f(C36)), (Right + (4 * $A$4), f(C36))) → G36
Segment((Right + (3 * $A$4), f(C37)), (Right + (4 * $A$4), f(C37))) → G37
Segment((Right + (3 * $A$4), f(C38)), (Right + (4 * $A$4), f(C38))) → G38
Segment((Right + (3 * $A$4), f(C39)), (Right + (4 * $A$4), f(C39))) → G39
Segment((Right + (3 * $A$4), f(C40)), (Right + (4 * $A$4), f(C40))) → G40
Segment((Right + (3 * $A$4), f(C41)), (Right + (4 * $A$4), f(C41))) → G41
Segment((Right + (3 * $A$4), f(C42)), (Right + (4 * $A$4), f(C42))) → G42
Segment((Right + (3 * $A$4), f(C43)), (Right + (4 * $A$4), f(C43))) → G43
Segment((Right + (3 * $A$4), f(C44)), (Right + (4 * $A$4), f(C44))) → G44
Segment((Right + (3 * $A$4), f(C45)), (Right + (4 * $A$4), f(C45))) → G45
Segment((Right + (3 * $A$4), f(C46)), (Right + (4 * $A$4), f(C46))) → G46
Segment((Right + (3 * $A$4), f(C47)), (Right + (4 * $A$4), f(C47))) → G47
Segment((Right + (3 * $A$4), f(C48)), (Right + (4 * $A$4), f(C48))) → G48
Segment((Right + (3 * $A$4), f(C49)), (Right + (4 * $A$4), f(C49))) → G49
Segment((Right + (3 * $A$4), f(C50)), (Right + (4 * $A$4), f(C50))) → G50
Segment((Right + (3 * $A$4), f(C51)), (Right + (4 * $A$4), f(C51))) → G51
Segment((Right + (3 * $A$4), f(C52)), (Right + (4 * $A$4), f(C52))) → G52
Segment((Right + (3 * $A$4), f(C53)), (Right + (4 * $A$4), f(C53))) → G53
Segment((Right + (3 * $A$4), f(C54)), (Right + (4 * $A$4), f(C54))) → G54
Segment((Right + (3 * $A$4), f(C55)), (Right + (4 * $A$4), f(C55))) → G55
Segment((Right + (3 * $A$4), f(C56)), (Right + (4 * $A$4), f(C56))) → G56
Segment((Right + (3 * $A$4), f(C57)), (Right + (4 * $A$4), f(C57))) → G57
Segment((Right + (3 * $A$4), f(C58)), (Right + (4 * $A$4), f(C58))) → G58
Segment((Right + (3 * $A$4), f(C59)), (Right + (4 * $A$4), f(C59))) → G59
Segment((Right + (3 * $A$4), f(C60)), (Right + (4 * $A$4), f(C60))) → G60
Segment((Right + (3 * $A$4), f(C61)), (Right + (4 * $A$4), f(C61))) → G61
Segment((Right + (3 * $A$4), f(C62)), (Right + (4 * $A$4), f(C62))) → G62
Segment((Right + (3 * $A$4), f(C63)), (Right + (4 * $A$4), f(C63))) → G63
Segment((Right + (3 * $A$4), f(C64)), (Right + (4 * $A$4), f(C64))) → G64
Segment((Right + (3 * $A$4), f(C65)), (Right + (4 * $A$4), f(C65))) → G65
Segment((Right + (3 * $A$4), f(C66)), (Right + (4 * $A$4), f(C66))) → G66
Segment((Right + (3 * $A$4), f(C67)), (Right + (4 * $A$4), f(C67))) → G67
Segment((Right + (3 * $A$4), f(C68)), (Right + (4 * $A$4), f(C68))) → G68
Segment((Right + (3 * $A$4), f(C69)), (Right + (4 * $A$4), f(C69))) → G69
Segment((Right + (3 * $A$4), f(C70)), (Right + (4 * $A$4), f(C70))) → G70
Segment((Right + (3 * $A$4), f(C71)), (Right + (4 * $A$4), f(C71))) → G71
Segment((Right + (3 * $A$4), f(C72)), (Right + (4 * $A$4), f(C72))) → G72
Segment((Right + (3 * $A$4), f(C73)), (Right + (4 * $A$4), f(C73))) → G73
Segment((Right + (3 * $A$4), f(C74)), (Right + (4 * $A$4), f(C74))) → G74
Segment((Right + (3 * $A$4), f(C75)), (Right + (4 * $A$4), f(C75))) → G75
Segment((Right + (3 * $A$4), f(C76)), (Right + (4 * $A$4), f(C76))) → G76
Segment((Right + (3 * $A$4), f(C77)), (Right + (4 * $A$4), f(C77))) → G77
Segment((Right + (3 * $A$4), f(C78)), (Right + (4 * $A$4), f(C78))) → G78
Segment((Right + (3 * $A$4), f(C79)), (Right + (4 * $A$4), f(C79))) → G79
Segment((Right + (3 * $A$4), f(C80)), (Right + (4 * $A$4), f(C80))) → G80
Segment((Right + (3 * $A$4), f(C81)), (Right + (4 * $A$4), f(C81))) → G81
Segment((Right + (3 * $A$4), f(C82)), (Right + (4 * $A$4), f(C82))) → G82
Segment((Right + (3 * $A$4), f(C83)), (Right + (4 * $A$4), f(C83))) → G83
Segment((Right + (3 * $A$4), f(C84)), (Right + (4 * $A$4), f(C84))) → G84
Segment((Right + (3 * $A$4), f(C85)), (Right + (4 * $A$4), f(C85))) → G85
Segment((Right + (3 * $A$4), f(C86)), (Right + (4 * $A$4), f(C86))) → G86
Segment((Right + (3 * $A$4), f(C87)), (Right + (4 * $A$4), f(C87))) → G87
Segment((Right + (3 * $A$4), f(C88)), (Right + (4 * $A$4), f(C88))) → G88
Segment((Right + (3 * $A$4), f(C89)), (Right + (4 * $A$4), f(C89))) → G89
Segment((Right + (3 * $A$4), f(C90)), (Right + (4 * $A$4), f(C90))) → G90
Segment((Right + (3 * $A$4), f(C91)), (Right + (4 * $A$4), f(C91))) → G91
Segment((Right + (3 * $A$4), f(C92)), (Right + (4 * $A$4), f(C92))) → G92
Segment((Right + (3 * $A$4), f(C93)), (Right + (4 * $A$4), f(C93))) → G93
Segment((Right + (3 * $A$4), f(C94)), (Right + (4 * $A$4), f(C94))) → G94
Segment((Right + (3 * $A$4), f(C95)), (Right + (4 * $A$4), f(C95))) → G95
Segment((Right + (3 * $A$4), f(C96)), (Right + (4 * $A$4), f(C96))) → G96
Segment((Right + (3 * $A$4), f(C97)), (Right + (4 * $A$4), f(C97))) → G97
Segment((Right + (3 * $A$4), f(C98)), (Right + (4 * $A$4), f(C98))) → G98
Segment((Right + (3 * $A$4), f(C99)), (Right + (4 * $A$4), f(C99))) → G99
Segment((Right + (3 * $A$4), f(C100)), (Right + (4 * $A$4), f(C100))) → G100
Segment((Right + (3 * $A$4), f(C101)), (Right + (4 * $A$4), f(C101))) → G101
Segment((Right + (3 * $A$4), f(C102)), (Right + (4 * $A$4), f(C102))) → G102
Textfield(f) → inputBox1
UpperSum(f, Left, Right, n) → Upper
LowerSum(f, Left, Right, n) → Lower
Polygon(A, B, C) → poly1, c_{26}, a_{22}, b_{22}
If((floor(n / 2) * 2) ≟ n, j, false) → simp

AI Drawing Prompt Reference

Draw a function graph and display its integral area. Adjust interval divisions to visually represent upper and lower Riemann sums using multiple small rectangles based on function values at interval endpoints. Connect each interval's endpoints with line segments to form trapezoids or rectangles, approximating the integral. The overall image should include the function curve, interval divisions, collections of rectangles or trapezoids for upper and lower sums, and the integral curve.

The prompt above was compiled from the original drawing commands and is for reference only.