∫ The Integrator

How to use:

Enter any function of x and watch it being integrated in three different ways!

Riemann Integration: Traditional rectangular approximation

Lebesgue Integration: Integration by horizontal slicing (measuring by function value)

Animated Integration: Watch the area accumulate as the upper limit increases

Examples: x*x, Math.sin(x), Math.cos(x), x*x*x - 3*x

Riemann Integration

Lebesgue Integration

Animated Integration