The integral is .
Rewrite the integrand as .
Thus, .
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.
Now compare the given integral with the .
Apply formula
is covergent if
and divergent if
.
It is divergent because .
Therefore, is also divergent by Comparison Test.
is divergent.
is divergent.