$\"\"$

\

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.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

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

\

$\"\"$

\

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