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 .