$\"\"$

The function is $\"\"$ .

Observe the graph :

The unbounded shaded region on interval $\"\"$ .

The area of the region bounded on $\"\"$ is $\"\"$ .

If $\"\"$ is continuous on the interval $\"\"$ , except for some $\"\"$ in $\"\"$ at which $\"\"$ has an infinite

discontinuity, then $\"\"$ .

The improper integral on the left diverges if either of the improper integrals on the right diverges.

$\"\"$

Integral formula : $\"\"$ .

$\"\"$

$\"\"$ .

The area of the unbounded shaded region is $\"\"$ .

$\"\"$

The area of the unbounded shaded region is $\"\"$ .