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

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) $\frac { \left( x ^ { 2 } + 2 \right) ^ { 4 } } { 4 } - 4$