Hard Integral problem

[mattflint50]

When I was studying I came accross this integral involving e. Find the integral of ((e^(4x+5))/((e^(2x+1)) dx. I do not even know where to start. My guess would be to set e equal to u^2. Am I right? Please help

 

[skeeter]

use a bit of algebra ...

e^(4x+5)/e^(2x+1) = e^[(4x+5)-(2x+1)] = e^(2x+4)

and it ain't so hard ...

INT e^(2x+4) dx = (1/2)e^(2x+4) + C