# Indefinite integration

1. Jun 19, 2012

### draotic

1. The problem statement, all variables and given/known data
1 / (3√x2 )

2. Relevant equations

3. The attempt at a solution
the overall power of x in denom becomes ( 1/2 * 2 * 1/3 = 1/3)
taking in num , it becomes (-1/3 + 1 = 2/3) so answer should be x2/3 / (2/3)
which is wrong , plz help

2. Jun 19, 2012

### SammyS

Staff Emeritus
$\displaystyle \frac{1}{\sqrt[3]{x^2}\,}=\frac{1}{x^{2/3}}=x^{-2/3}$

$\displaystyle -\frac{2}{3}+1=\frac{1}{3}$