Find the Indefinite Integral Using Substitution: e^2x and (1+e^2x)^3

[undrcvrbro]

Homework Statement

Find the indefinite integral using substitution:
$$\int$$e^2x(1+e^2x)^3 dx

Homework Equations

The Attempt at a Solution

I'm not sure how to start. What do I substitute? Any suggestions to get me started will be greatly appreciated.

 

[m_s_a]

put u=e^2x====>du=2e^2xdx

 

[Dick]

Better to put u=(1+e^(2x)).

 

[undrcvrbro]

Better to put u=(1+e^(2x)).

Yes, thanks dick. Thats what I ended up doing. I had just learned this stuff today, so I think msa's approach may have been a bit over my head.