Finding Equal Area Using Integration

This example demonstrates how to locate a position where two regions bounded by a curve and straight lines have equal area by evaluating definite integrals. Core concepts include definite integration, area computation, the interplay between function graphs and geometric shapes, and algebraic formulation of the equal‑area condition. Construction highlights: the Integral command computes areas Area, Area_1, Area_2 for function f; Segment and Line create segment a, lines g and h, and points P, Q; a text object text1 displays key values. It is suitable for high‑school calculus electives, introductory university calculus courses, and teacher lesson‑preparation to give students a visual grasp of the geometric meaning of integration.