Int( X/(x+2)^(1/4)) substitutions

[steve092]

Homework Statement

I'm having a problem with U-Substitution. I get the simple stuff and the trig substitutions, but this problem has been bugging me.
Int( X/(x+2)^(1/4))

Homework Equations

The Attempt at a Solution

I first tried u=x+2 and then du=dx. I then solved for x, where x= U-2.

That put me at Int( (u-2)/(u^(1/4)). And that's where I don't really know how to go on.

 

[rock.freak667]

You can split (u-2)/u^1/4 as u/u^1/4-2/u^1/4.

 

[steve092]

So split it then integrate it from there?

 

[steve092]

Thanks for the help. I got:
(4/7)(x+2)^(7/4) - (8/3)(x+2)^(3/4) +C.

 

[rock.freak667]

Thanks for the help. I got:
(4/7)(x+2)^(7/4) - (8/3)(x+2)^(3/4) +C.

That should be correct.