Interactive Expected Value of Complex Logarithmic Integrals

① This GeoGebra example demonstrates an interactive visualization of expected value calculations involving complex numbers, natural logarithmic functions, and indefinite integrals, with parameters adjustable via sliders and input boxes. ② Core mathematical concepts include complex number operations, indefinite integrals, natural logarithms, expected value, and summation over natural numbers, bridging discrete sequences and continuous functions. ③ Construction highlights: uses commands such as Point, Vector, Textfield, and Sequence; creates multiple points (A1–A12, B1–B3), functions f and g, vector v, sequences list1 and list2_2, and displays dynamic formulas via input boxes (inputBox1/inputBox2) and text objects (text1, text3, text4, text5). ④ Suitable for high school to early college students, this example helps explore the interplay between complex analysis, calculus, and probability, and serves as a template for educators building interactive lessons on integrals or complex-valued expectations.