The integral is .

Definition of an improper integral :

If  exists for every number , then  provoded this limit exists (as a finite number).

Let .

Differentiate on each side with respect to .

Substitute  and  in the integral function.

Power rule of integral :.

Substitute  in thhe integral function.

Change of the limits is

Apply limits on the integral function.

Therefore, .

Since (infinite value), the integral is divergent.

The integral is divergent and the value is .