Find the Most General Antiderivative of the Function $f ( x ) = \frac { 1 + 3 x } { \sqrt { x } }$

Find the most general antiderivative of the function $f ( x ) = \frac { 1 + 3 x } { \sqrt { x } }$ .

A) $2 \sqrt { x } + 2 \sqrt [ 3 ] { x ^ { 2 } } + C$

B) $2 \sqrt { x } + 3 \sqrt { x ^ { 3 } } + C$
C) $\sqrt { x } + 2 \sqrt { x ^ { 3 } } + C$
D) $- \frac { 1 } { 2 } x ^ { \frac { - 3 } { 2 } } + \frac { 3 } { 2 } x ^ { \frac { - 1 } { 2 } } + C$
E) $2 \sqrt { x } + \sqrt { x ^ { 3 } } + C$
F) $2 \sqrt { x } + 2 \sqrt { x ^ { 3 } } + C$

G) $2 \sqrt { x } + \sqrt [ 3 ] { x ^ { 2 } } + C$

H) $\sqrt { x } + 2 \sqrt [ 3 ] { x ^ { 2 } } + C$

Correct Answer:

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