(a)

The function is .

The integral is .

Consider substitution .

Differentiate on each side.

.

.

If  then .

Therefore, .

Change of integral limits:

Lower limit: If  then .

Upper limit: If  then .

Substitute corresponding values in the integral.

Find the integral in terms of .

.

(b)

The function is .

The integral is .

Consider substitution .

Differentiate on each side.

If  then .

Therefore, .

Change of integral limits:

Lower limit: If  then .

Upper limit: If  then .

Substitute corresponding values in the integral.

Definite integral property: .

Find the integral in terms of .

.

(a).

(b) .