Trying to solve this tricky one:
$\int {e^{2x}} \sqrt{1 + e^{2x}}dx$
I am pretty sure I need to use integration by parts, so I have come up with this so far:
$u=e^{2x} \Rightarrow du=2e^{2x}$ $dv = \sqrt{1+e^{2x}}$
I am not sure how to integrate to find $v$. Am I on the right track here??