Step-by-step walkthrough

Integral Calculator Guide

Use this companion guide beside the interactive calculator to make sure you understand the “why” behind every click. Each section includes the classroom explanation, student-friendly language, and quick practice prompts.

Before you start

Collect the data points listed below and double-check their units. Keeping an organized “givens” list is one of the fastest ways to reduce math errors and impress exam graders.

  • integral
  • definite integral
  • antiderivative

Detailed procedure

  1. Step 1

    Enter the function f(x) using x as the variable (sin, cos, log, exp, etc. are supported).

  2. Step 2

    Choose definite mode to supply lower and upper bounds, or indefinite mode to evaluate F(x) at a point.

  3. Step 3

    Review the approximation plus any helpful context such as the evaluation point or bounds.

Teaching & troubleshooting tips

Which functions are supported?

Standard JavaScript math functions (sin, cos, tan, exp, log, sqrt, etc.) are supported. Use ** for powers or write expressions like x^2 which are automatically converted.

How accurate is the result?

Simpson’s rule converges quickly for smooth functions. Increase precision by rewriting the function if it has discontinuities at the bounds.

Next steps