# What is the integral of 3x?

Dec 9, 2014

Power Rule for Antiderivatives

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

$\int 3 x \mathrm{dx}$

by pulling $3$ out of the integral,

$= 3 \int x \mathrm{dx}$

by Power Rule,

$= 3 \cdot {x}^{2} / 2 + C = \frac{3}{2} {x}^{2} + C$

I hope that this was helpful.