Find the Indefinite Integral of the Following Function and Check $\int x ^ { 4 } \sqrt { \left( 4 + x ^ { 5 } \right) } d x$

question 12

Multiple Choice

Find the indefinite integral of the following function and check the result by differentiation. $\int x ^ { 4 } \sqrt { \left( 4 + x ^ { 5 } \right) } d x$

• A) \(\frac { \left( 4 + x ^ { 5 } \right) ^ { \frac { 3 } { 2 } } } { 10 } + C\)
• B) \(\frac { 2 \left( 4 + x ^ { 5 } \right) ^ { \frac { 2 } { 3 } } } { 15 } + C\)
• C) \(\frac { \left( 4 + x ^ { 5 } \right) ^ { \frac { 3 } { 2 } } } { 15 } + C\)
• D) \(\frac { 2 \left( 4 + x ^ { 5 } \right) ^ { \frac { 3 } { 2 } } } { 15 } + C\)
• E)none of the above

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