This integral is just whooping my butt

[1MileCrash]

Homework Statement

General antiderivative of:

e^(sqrt(2x) + 3)

Homework Equations

The Attempt at a Solution

http://imageshack.us/photo/my-images/171/integralm.png/

I have no idea what to do, my process is chaotic. I arrive at an answer but it doesn't seem to agree with the book.

 

[Mute]

Your answer looks correct, though the book answer would probably factor it: (\sqrt{2x}-1)\exp(\sqrt{2x}+3). Is that what the difference is?

As to your method, you could just make one substitution, y = \sqrt{2x}, rather than making two.