If
and
.
The integral expression is
.
Consider the fact that
is greater than
, since denominator is small in the first expression.
Consider
.

Since
then
and it is some negative number.
Let 
which results a finite number, therefore
is convergent.
From the comparison theorem:
\Suppose
and
are continuous functions with
and
If
is convergent then
is also convergent.
Therefore, if
then
is also convergent.
is convergent.