Integral test:

Suppose  is a continuous, positive, decreasing function on and let .

Then the series is convergent if and only if the improper integral is convergent.

(i) If is convergent, then is convergent.

(ii) If is divergent, then is divergent.

The series is .

Using integral test:

Consider the integral .

Consider .

Apply derivative on each side with respect to .

.

Substitute and in integral.

Substitute .

.

The integral is converges.

Therefore, the series is converges.

The series is converges.