Calculus
Basic

Power Rule for Integration

Antiderivative of a power function (n≠-1).

Formula

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

Variables

nExponent
CConstant

Example

∫x²dx = x³/3 + C

Did You Know?

The power rule for integration fails for 1/x, and that single exception is exactly where the natural logarithm comes from.

integral