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.