Question

Indefinite integral wrt x of e^x/sqrt(1-e^(2x))?

Answer 1

arcsine (e^x)

Answer 2

Plus a constant.

Substitution used?

Answer 3

\[u=e^x\]
\[du=e^xdx\] gives
\[\int \frac{du}{\sqrt{1-u^2}}\]

Answer 4

get answer right away

Answer 5

Recall derivative\[\sin^{-1} u =[1/\sqrt{1-u ^{2}}](du/dx)\]