$\"\"$

The improper integral is $\"\"$ .

The integral is improper because the upper limit is $\"\"$ for which the integral is undefined when plugged into it.

$\"\"$ .

Substitute $\"\"$ .

Apply derivative on each side.

$\"\"$ .

Substitute $\"\"$ and $\"\"$ .

$\"\"$

Therefore the integral converges to $\"\"$ .

$\"\"$

Graph:

Graph the integrand $\"\"$ :

$\"\"$

Observe the graph:

Using integration capabilities: $\"\"$ .

$\"\"$

The improper integral $\"\"$ converges to $\"\"$ .