Return to Assignments Improper integrals

### Assignment 4

Calculate:

### Solution

The integrand is the product of the increasing function and the (strongly) decreasing function . It may be clear that the decreasing function will win, but it is not clear whether this will be enough to have the integral converge, see the figure.

The primitive of is

and thus:

After some calculations we get:

Return to Assignments Improper integrals