e^2x(1 + e^2x)^3 dx Indefinite Integral

[stephanie953]

e^2x(1 + e^2x)^3 dx Sorry to post another problem. I have a 3 hour calculus class a week so it doesn't get spread out over the week. I am kind of lost here. I know the standard is to raise the power and put the raised power as the denominator, but I think the e^2x's just confuse me. Any help is much appreciated.

 

[stephanie953]

I looked at it again. Does it become e^2x(1+e^2x)^4 / 4 then you take 1/4 * e^2x(1+e^2x) If so how do I multiply 1/4 * e^2x?

 

[stephanie953]

My book says the answer should be 1/8e^2x(1+e^2x)^4. Where does the 1/8 come from?