The integral is
.
(a) Solve the integral by using
-substitution.
Substitute
.
Apply derivative on each side with respect to
.


.
Substitute
and
in
.


Apply formula :
.

Substitute
.
.
Solve the integral
by using trigonoimetric substitution.
Substitute
.
Apply derivative on each side with respect to
.

.
Substitute
and
in
.


Trigonometry identity :
.



If
then
.
Substitute
in
.



where 
.
The integral is
.
(b) Solve the integral by using
substitution.
Substitute
.



Apply formula :
.


.
The integral is
.
Solve the integral by using trigonometric substitution.
\Substitute
.
Apply derivative on each side with respect to
.

.
Substitute
and
in
.


Trigonometry identity :
.



Substitute
and
in
.


.
(a)
.
(b)
.