$\"\"$

The integral is $\"\"$ .

Definition of an improper integral :

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

$\"\"$ .

Consider $\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

Substitute $\"\"$ in equation (1).

$\"\"$

Since $\"\"$ (infinite), the integral is divergent.

$\"\"$

The integral is divergent.