# Primitive of Power/Examples/x

## Example of Use of Primitive of Power

$\ds \int x \rd x = \dfrac {x^2} 2 + C$

## Proof

 $\ds \ds \int x \rd x$ $=$ $\ds \ds \int x^1 \rd x$ $\ds$ $=$ $\ds \dfrac {x^{1 + 1} } {1 + 1} + C$ Primitive of Power: $n = 1$ $\ds$ $=$ $\ds \dfrac {x^2} 2 + C$ simplifying

$\blacksquare$