# Math Help - Integral Convergance

1. ## Integral Convergance

Does the following integrals converge, and what test should I apply?

2. Originally Posted by GIPC
Does the following integrals converge, and what test should I apply?

For the first change the variable to $u=1/x$ then it should be relativly easy, and what method you use depends on what you have been taught, I would look at the asymtotic behaviiour at zero and infinity.

CB

3. I still don't see how that helps.

4. Originally Posted by GIPC
I still don't see how that helps.
For one thing it gets rid of the infinite number of oscillations of the integrand at the lower limit of integration, leaving you with a more conventional problem.