What is the integral of 2e^(2x)?

Apr 18, 2018

$\int 2 {e}^{2 x} \mathrm{dx} = {e}^{2 x} + C$

Explanation:

$\int 2 {e}^{2 x} \mathrm{dx}$

$= 2 \int {e}^{2 x} \mathrm{dx}$

$= \cancel{2} {e}^{2 x} / \cancel{2} + C$

$= {e}^{2 x} + C$

where $C$ is an arbitrary integration constant.