The integral is .

(a) Evaluate the integral  in terms of natural logarithms:

Let .

Apply derivative with respect to .

.

Find the limits:

If then

.

If then

.

Apply the formula: .

.

.

(b)  Evaluate the integral in terms of inverse hyperbolic functions:

Apply derivative with respect to .

.

Find the limits:

If then .

If then .

Apply hyperbolic identity: .

.

.

(a) .

(b)  .