Integral Calculator

Use this free integral calculator to solve indefinite integrals and definite integrals step by step. Enter a function of x, choose the integral type, and get the result instantly.

Result

Enter a function and click Calculate Integral.
Tip: Use * for multiplication. Example: write 2*x, not 2x.

How to Use This Integral Calculator

This integral calculator helps you find the antiderivative of a function or calculate the area under a curve over a selected interval. Type your function using the variable x, then choose whether you want an indefinite integral or a definite integral.

Supported Examples

  • x^2 for a polynomial function
  • sin(x) and cos(x) for trigonometric functions
  • 1/x for a logarithmic antiderivative
  • e^x for an exponential function
  • cos(2*x) for functions with multiplication

Indefinite Integral

An indefinite integral gives the general antiderivative of a function. Because the derivative of a constant is zero, indefinite integrals include + C at the end.

Definite Integral

A definite integral calculates the signed area under a function between a lower limit and an upper limit. This calculator estimates definite integrals numerically, which is useful for many common functions.

FAQ

Can I use this for homework?
Yes. This tool is useful for checking answers, learning patterns, and estimating definite integrals.

Why do I need to type 2*x?
Most calculators require explicit multiplication. For example, use 2*x instead of 2x.

Does it show every manual step?
This version focuses on quick answers. For complex symbolic steps, always verify with your class method or textbook.