Find the Indefinite Integral of the Following Function and Check $\int u ^ { 2 } \left( 5 + u ^ { 3 } \right) ^ { 3 } d u$

Multiple Choice

Find the indefinite integral of the following function and check the result by differentiation. $\int u ^ { 2 } \left( 5 + u ^ { 3 } \right) ^ { 3 } d u$

A) $12 \left( 5 + u ^ { 3 } \right) ^ { 4 } + C$
B) $\frac { \left( 5 + u ^ { 3 } \right) ^ { 4 } } { 12 } + C$
C) $\frac { \left( 5 + u ^ { 3 } \right) ^ { 4 } } { 4 } + C$
D) $\frac { \left( 5 + u ^ { 2 } \right) ^ { 4 } } { 12 } + C$
E) none of the above