#### cheetahday

##### New member

- Joined
- Jan 14, 2015

- Messages
- 1

\(\displaystyle \displaystyle{ \int \,}\)\(\displaystyle \dfrac{dx}{x\, \left(x^p\, +\, a\right)},\) where \(\displaystyle a,\, p\, \neq\, 0.\) Use the substitution \(\displaystyle u\, =\, 1\, +\, ax^{-p}.\)

So far I've only gotten

x^p=(u-1)/a

x=((u-1)/a)^(1/p)

I'm stuck everything I plug in just becomes really messy

So far I've only gotten

x^p=(u-1)/a

x=((u-1)/a)^(1/p)

I'm stuck everything I plug in just becomes really messy

Last edited by a moderator: