A Wild Function: Integral + Series + Infinite Product

This visualization shows a complicated function F(x) built from three different constructions: (1) a derivative of a product involving an integral, (2) a convergent oscillating series, and (3) an infinite product. You can see how each part behaves and how they combine into F(x). The canvas shows a standard x–y plane with three neon curves (one for each piece) and their sum. Use the sliders to control x, the truncation levels for the series and product, and the zoom. The point x you choose is highlighted so you can compare the partial values of each piece and their total.