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??