Question

Indefinite integration

Answer 1

\[\int\limits\frac{e^{2x}}{\sqrt{e^{x}+a}\sqrt{e^{x}+b}}dx\]

Answer 2

I am thinking that a u-substitution would start things off here.
\(u = e^x\), \(du = e^x dx\)

Notice that \(u \; du = e^x \times e^x dx = e^{2x} dx\), so the substitution should work.
\[ \int \frac{u}{\sqrt{u + a} \sqrt{u + b}} \; du \]

Answer 3

Hmm, were you able to figure it out from there?