Question

Integrate.
How do I integrate (e^2x)/(1+e^x)?

Answer 1

Is this the question?
\[\int\frac{e^{2x}}{1+e^x}dx\]

Answer 2

yes

Answer 3

Let u = 1+e^x, that is e^x=u-1
du = e^x dx, so we get
\[\int\frac{e^{2x}}{1+e^x}dx=\int \frac{e^{x}(e^xdx)}{1+e^x}=\int\frac{(u-1)du}{u}=...\]

Answer 4

i get it , thank you :)

Answer 5

Welcome :)