Integrating an absolute function

[steve snash]

Homework Statement

1
⌠ | 10^(1/2)*(x^5)+(5*x^(1/5)) | dx
⌡
−1

Homework Equations

once the absolute value is gone you can just integrate the function

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)

 

[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.