The integral is
.
Consider inequality
.
on
.
Now compare the given integral with the
.
Find
.

Improper integral
converges to
.
The 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.
is also convergent by Comparison Test.
is convergent.