Solving ∫(x^7/(1+x^16)dx: Tips & Tricks

[kevinnn]

Homework Statement

∫(x^7/(1+x^16)dx

Homework Equations

The Attempt at a Solution

I feel like it's so simple. I have tried making u equal to 1+x^16 and then trying to find some sort of chain I can use to make the equation work but no luck. When i saw that arctan was in the correct answer I was lost. Any help appreciated.

 

[kevinnn]

Never mind. I just had to look at it for a second more.

 

[HallsofIvy]

And you let $u= x^8$?

 

[kevinnn]

Yes.