Find the Indefinite Integral of the Following Function and Check $\int \frac { 3 t ^ { 2 } } { \sqrt { t ^ { 3 } + 3 } } d t$

Multiple Choice

Find the indefinite integral of the following function and check the result by differentiation. $\int \frac { 3 t ^ { 2 } } { \sqrt { t ^ { 3 } + 3 } } d t$

A) $2 \sqrt { t ^ { 3 } + 3 } + C$
B) $\sqrt { t ^ { 3 } + 3 } + C$
C) $2 \sqrt { t ^ { 2 } + 3 } + C$
D) $\frac { 1 } { 2 } \sqrt { t ^ { 3 } + 3 } + C$
E) $\frac { 1 } { 2 } \sqrt { t ^ { 2 } + 3 } + C$