# Integral xsinx limits 0 to infinity

1. Jul 31, 2011

### skateboarding

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

So I'm trying to evaluate the following integral:

$$4\pir^2$$

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Jul 31, 2011

### rock.freak667

$$\int _{0} ^\infty xsinx dx$$

Well you can integrate by parts and then see what the limits will do.

Otherwise most integrals with a trig function will lead to a trig function. So is there a limit as x→∞ with sinx?