Math Lab

Definite Integral (numeric)

Calculus

Simpson's rule on any expression in x from a to b.

Inputs

Results

∫ via Simpson's rule4.46740127
∫ via Trapezoidal rule4.46674308
|Simpson − Trapezoid|0.00065819
Step size h0.062832

Frequently asked questions

What does the Definite Integral (numeric) do?

The Definite Integral (numeric) is an interactive calculus lab where you change inputs and the answers update live, helping you build intuition without doing the arithmetic by hand.

Who should use the Definite Integral (numeric)?

Students from primary to senior secondary classes, parents helping with homework, and anyone revising calculus can use this lab to check answers and explore "what-if" scenarios.

Is the Definite Integral (numeric) free to use?

Yes. Every lab on math.suparnpatra.com is free and runs entirely in your browser : nothing is sent to a server.

Does the Definite Integral (numeric) work offline?

Once the page is loaded, all calculations run locally in JavaScript, so you can keep using it even on a flaky connection.

How accurate are the results?

Results use standard JavaScript double-precision arithmetic and the textbook formula for calculus. We never display scientific notation : numbers are shown as ordinary decimals you can read at a glance.