Find $f ( x )$ If $f ( 0 ) = 0$

question 31

Multiple Choice

Find $f ( x )$ if $f ( 0 ) = 0$ and the tangent line at $( x , f ( x ) )$ has the slope $x \left( x ^ { 2 } + 2 \right) ^ { 3 }$ .

• A) \(\frac { x ^ { 2 } + 2 } { 8 } + C\)
• B) \(\frac { x ^ { 2 } + 2 } { 8 }\)
• C) \(\frac { \left( x ^ { 2 } + 2 \right) ^ { 4 } } { 4 } + 4\)
• D) \(\frac { \left( x ^ { 2 } + 2 \right) ^ { 4 } } { 8 } - 2\)
• E) \(\frac { \left( x ^ { 2 } + 2 \right) ^ { 4 } } { 4 } - 4\)

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