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

question 24

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) \(\frac { 1 } { 2 } \sqrt { t ^ { 2 } + 3 } + C\)