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Find the Most General Antiderivative of the Function f(x)=2+x3x3f ( x ) = \frac { 2 + x ^ { 3 } } { x ^ { 3 } }

Question 263

Multiple Choice

Find the most general antiderivative of the function f(x) =2+x3x3f ( x ) = \frac { 2 + x ^ { 3 } } { x ^ { 3 } } .


A) 2+3x23x2+C\frac { 2 + 3 x ^ { 2 } } { 3 x ^ { 2 } } + C

B) 2x+14x4x4+C\frac { 2 x + \frac { 1 } { 4 } x ^ { 4 } } { x ^ { 4 } } + C
C) −1x2+1+C- \frac { 1 } { x ^ { 2 } } + 1 + C
D) −1x2+C- \frac { 1 } { x ^ { 2 } } + C
E) 1x2+x+C\frac { 1 } { x ^ { 2 } } + x + C
F)
1x2+1+C\frac { 1 } { x ^ { 2 } } + 1 + C

G) −1x2+x+C- \frac { 1 } { x ^ { 2 } } + x + C

H) 2x2+C\frac { 2 } { x ^ { 2 } } + C

Correct Answer:

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