# Homework Help: Improper Integral

1. Feb 23, 2013

### Archimedes II

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

$\displaystyle \int_{1}^{\infty} 1/(x^2+ 3 \ |sin x| +2) dx$

2. Relevant equations

N/A

3. The attempt at a solution

$\displaystyle \int_{1}^{\infty} 1/(x^2+ 3 \ |sin x| +2) dx =$

$\displaystyle lim_{t\rightarrow \infty} \int_{1}^{t} 1/(x^2+ 3 \ |sin x| +2) dx$

Side Work

$\displaystyle \int 1/(x^2+ 3 \ |sin x| +2) dx$

I have now clue how to solve this integral. It can't be simplified. U substitution doesn't work nor does a trigonometric substitution. Once I can solve the indefinite itegral I can solve the rest on my own.

2. Feb 23, 2013

### Dick

You can't solve the indefinite integral. You just want to prove the improper integral exists. Try a comparison test.

3. Feb 23, 2013

### Archimedes II

Oh ok thanks that makes since now.