Power Rule (Integral)

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

Description

Finds the integral of power functions.

Variables

Symbol	Meaning
`n`	Power/exponent (n ≠ -1)
`x`	Variable
`C`	Constant of integration

Example

Problem

Find ∫x³ dx

Solution

x⁴/4 + C

Real-World Applications

Area calculation
Physics
Engineering