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

question 224

Multiple Choice

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

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