Integral Calculator

Type a polynomial to integrate it, or add limits for a definite integral.

Use ^ for powers, e.g. 4x^3 - x + 2

Result

Enter values and press Calculate to see the result.

Formula

∫axn dx=an+1xn+1+C\int a x^n \, dx = \frac{a}{n + 1} x^{n+1} + C

The reverse power rule (for n ≠ −1).

∫abf(x) dx=F(b)−F(a)\int_a^b f(x)\,dx = F(b) - F(a)

The fundamental theorem of calculus.

How to use this calculator

  1. Type the polynomial and choose indefinite or definite.
  2. For a definite integral, enter the lower and upper limits.

Worked example

∫ from 0 to 2 of 3x² dx

An antiderivative of 3x² is x³.

F(2) − F(0) = 8 − 0 = 8.

Frequently asked questions

What is + C?

Any constant differentiates to zero, so every antiderivative is defined up to a constant C.

Can it integrate sin x or eˣ?

This calculator handles polynomials. Sumzo AI can help with other functions.

Learn more