Find the Most General Antiderivative of the Function $f ( x ) = 2 x ^ { 3 } - x ^ { 2 } + 5$

question 227

Multiple Choice

Find the most general antiderivative of the function $f ( x ) = 2 x ^ { 3 } - x ^ { 2 } + 5$ .

• A) \(x ^ { 4 } - \frac { 1 } { 3 } x ^ { 3 } + 5 x + C\)
• B) \(\frac { 1 } { 2 } x ^ { 4 } - x ^ { 3 } + 5 x + C\)
• C) \(2 x ^ { 4 } - \frac { 1 } { 3 } x ^ { 3 } + 5 x + C\)
• D) \(\frac { 1 } { 2 } x ^ { 4 } - \frac { 1 } { 3 } x ^ { 3 } + C\)
• E) \(\frac { 1 } { 2 } x ^ { 4 } - \frac { 1 } { 3 } x ^ { 3 } + 5 x + C\)
• F) \(\frac { 1 } { 4 } x ^ { 4 } - \frac { 1 } { 3 } x ^ { 3 } + 5 x + C\)
• G) \(\frac { 1 } { 2 } x ^ { 4 } - \frac { 1 } { 3 } x ^ { 2 } + 5 x + C\)
• H) \(6 x ^ { 2 } - 2 x + C\)

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