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

Question 17

Multiple Choice

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


A) 23(x+16) 3/2(x32) +C\frac { 2 } { 3 } ( x + 16 ) ^ { 3 / 2 } ( x - 32 ) + C
B) 23(x16) 1/2(x+32) +C\frac { 2 } { 3 } ( x - 16 ) ^ { 1 / 2 } ( x + 32 ) + C
C) 23(x+16) 1/2(x32) +C\frac { 2 } { 3 } ( x + 16 ) ^ { 1 / 2 } ( x - 32 ) + C
D) 32(x+16) 1/2(x32) +C\frac { 3 } { 2 } ( x + 16 ) ^ { 1 / 2 } ( x - 32 ) + C

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