The integral is .
on
.
Comparison Test :
\Suppose that and
are two continuous functions and
on the interval
.
(i) If is convergent, then
is also convergent.
(ii) If is divergent, then
is also divergent.
From exercise (55): is converges for
.
is converges.
Therefore, the integral is also converges by comparision test.
The integral is converges.