Use Integration by Parts to Evaluate the Integral $\int \frac { x } { \sqrt { x + 16 } } d x$

question 17

Multiple Choice

Use integration by parts to evaluate the integral $\int \frac { x } { \sqrt { x + 16 } } d x$ .

• A) \(\frac { 2 } { 3 } ( x + 16 ) ^ { 3 / 2 } ( x - 32 ) + C\)
• B) \(\frac { 2 } { 3 } ( x - 16 ) ^ { 1 / 2 } ( x + 32 ) + C\)
• C) \(\frac { 2 } { 3 } ( x + 16 ) ^ { 1 / 2 } ( x - 32 ) + C\)
• D) \(\frac { 3 } { 2 } ( x + 16 ) ^ { 1 / 2 } ( x - 32 ) + C\)

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