# Homework Help: Finding the indefinite integral

1. Jan 17, 2012

### csc2iffy

1. The problem statement, all variables and given/known data
$\int$(x^(1/3)/(x^(1/3)+1))dx

2. Relevant equations
I know I have to use u substitution
u=x^(1/3)
du=1/(3x^(2/3))dx

3. The attempt at a solution
I know that the denominator of the equation will be u+1, but I don't understand how to find the numerator because I thought it would just be u, but wolfram alpha says it's u^3?

2. Jan 17, 2012

### Dick

If x^(1/3)=u then x^(2/3)=u^2. So du=(1/(3*u^2))dx. Does that tell you where the extra two powers of u are coming from?