About the Numerical Integration Calculator

Three classic numerical methods, compared side by side.

What it is

The Numerical Integration Calculator approximates definite integrals using the Trapezoidal Rule, Simpson's Rule, and the Midpoint Rule, from either a function over an interval or a table of sampled data points. When a function is provided, a high-precision reference value is computed so each method's error can be compared directly.

Features

Three methods compared

Trapezoidal, Simpson's, and Midpoint rules shown side by side.

Function or data table

Works from a symbolic function or pasted (x, y) sample points.

Error estimate

Compares each method against a high-resolution reference value.

Visual geometry

Graph draws the trapezoids, parabolic arcs, or rectangles used.

Ready to use it?

Free, no sign-up required.

Open the Numerical Integration Calculator