Interactive illustration of the Fundamental Theorem of Calculus, showing $F(x) = \int_a^x f(t)\,dt$ alongside $f
The Fundamental Theorem of Calculus connects differentiation and integration, stating that if F(x)=∫axf(t)dt, then F′(x)=f(x). This calculator lets you enter a function f and visualizes both f and its accumulation function F, showing how the signed area under f up to a point x determines the value of F(x). Parameters a,b,c are available for exploration via sliders.
Controls: Click and drag to orbit, scroll to zoom.
