4x(3x2+3)1/2 dx =
2

3
u1/2 du
(from two steps ago)
=
2

3
u3/2

3/2
+ C
(taking the antiderivative)
=
4

9
u3/2+ C
(simplifying the answer)
=
4

9
(3x2+3)3/2+ C
(substituting back for u)


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