Question

∫((e^2x) sqrt(1+e^2x)) dx

Answer 1

meow

Answer 2

meoww?'s is correct, but a slightly faster sub is\[\int e^{2x}\sqrt{1+e^{2x}}dx\]\[u=1+e^{2x}\to du=2e^{2x}dx\]\[\frac12\int u^{1/2}du=\frac13(1+e^{2x})^{3/2}+C\]

Answer 3

Thanks!