# Integrating an absolute function

1. Apr 29, 2010

### steve snash

1. The problem statement, all variables and given/known data

1
⌠ | 10^(1/2)*(x^5)+(5*x^(1/5)) | dx

−1

2. Relevant equations
once the absolute value is gone you can just integrate the function

3. The attempt at a solution
how do you get rid of the absolute, and how do you then integrate it, do you use the product rule with 10^(1/2)*(x^5)

2. Apr 29, 2010

### LCKurtz

Notice the function inside the absolute value signs is an odd function and is positive if x>0. So its absolute value will be an even function. So double the integral from 0 to 1.