How to perform an integral with a polynomial and a radical?

[ainster31]

Homework Statement

Homework Equations

The Attempt at a Solution

How did they go from the first step in the blue to the second step in the blue?

I tried integration by parts but that didn't work.

 

[ainster31]

Just u substitution. Put u=x^(2/3).

I suck at integration... that was such an easy one. =[

I tried for several papers to do substitution $u=x^{1/3}$.

 

[Dick]

Homework Statement

Homework Equations

The Attempt at a Solution

How did they go from the first step in the blue to the second step in the blue?

I tried integration by parts but that didn't work.

They took a factor of x^(-2/3) outside of the radical where it becomes x^(-1/3). Then just u substitution u=x^(2/3). Sorry, I accidentally deleted my first post while editing. So this is out of order.