Calculus
Intermediate

Power Rule (Integral)

Antiderivative of a power function.

Formula

∫xn dx=xn+1n+1+C,  n≠−1\int x^n\,dx = \frac{x^{n+1}}{n+1} + C, \; n \ne -1

Variables

nExponent
CConstant of integration

Example

∫ x² dx = x³/3 + C.

Did You Know?

The +C on every indefinite integral reminds us that infinitely many curves share the same slope.

integralpower rule