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Use a Table of Integrals to Evaluate the Integral x3+3xdx\int x \sqrt { 3 + 3 x } d x

Question 144

Multiple Choice

Use a table of integrals to evaluate the integral. Select the correct answer.
x3+3xdx\int x \sqrt { 3 + 3 x } d x


A) 2315(3x1) (x+1) 3/2+C\frac { 2 \sqrt { 3 } } { 15 } ( 3 x - 1 ) ( x + 1 ) ^ { 3 / 2 } + C
B) 2315(3x2) (x+1) 3/2+C\frac { 2 \sqrt { 3 } } { 15 } ( 3 x - 2 ) ( x + 1 ) ^ { 3 / 2 } + C
C) 2315(3x2) x+1+C\frac { 2 \sqrt { 3 } } { 15 } ( 3 x - 2 ) \sqrt { x + 1 } + C
D) 215(3x2) x+1+C\frac { 2 } { 15 } ( 3 x - 2 ) \sqrt { x + 1 } + C

Correct Answer:

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