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

question 30

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

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