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Use Integration by Parts to Evaluate the Integral xx+30dx\int \frac { x } { \sqrt { x + 30 } } d x

Question 63

Multiple Choice

Use integration by parts to evaluate the integral xx+30dx\int \frac { x } { \sqrt { x + 30 } } d x


A) 32(x+30) 1/2(x60) +C\frac { 3 } { 2 } ( x + 30 ) ^ { 1 / 2 } ( x - 60 ) + C
B) 23(x+30) 3/2(x60) +C\frac { 2 } { 3 } ( x + 30 ) ^ { 3 / 2 } ( x - 60 ) + C
C) 23(x+30) 1/2(x60) +C\frac { 2 } { 3 } ( x + 30 ) ^ { 1 / 2 } ( x - 60 ) + C
D) 23(x30) 1/2(x+60) +C\frac { 2 } { 3 } ( x - 30 ) ^ { 1 / 2 } ( x + 60 ) + C

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