# Homework Help: Integration Problem involving absolute bracket, sine,cosine

1. Feb 1, 2012

### appplejack

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

∫(1)to(-1) l sin(x) l dx

2. Relevant equations

3. The attempt at a solution

If I just leave it like this, is it wrong?

1. ∫(1)to(-1) l sin(x) l dx = l -cos (x)l

2. l -cos (1) l — l -cos (-1)l = 0 - 0 = 0

2. Feb 1, 2012

### Dick

Way wrong. Split the integral up into regions where sin(x) has a definite sign. Work the integral out on each of those regions. Then add them up. You'll get a very different answer.

Last edited: Feb 1, 2012