4x(3x
2
+3)
1/2
dx
=
2
3
u
1/2
du
(from two steps ago)
=
2
3
u
3/2
3/2
+ C
(taking the antiderivative)
=
4
9
u
3/2
+ C
(simplifying the answer)
=
4
9
(3x
2
+3)
3/2
+ C
(substituting back for u)