Problem 32E

Integrals with unbounded integrands Evaluate the following integrals or state that they diverge.

Solution:-

Step1

Given that

Step2

To find

Evaluate the following integrals or state that they diverge.

Step3

Integral is unbounded at x=3

=+

Let =t

Differentiate we get

=

Now,

=

=

=-2

Therefore,

=-2