Use a table of integrals to evaluate the integral. Select the correct answer.
$$\int x \sqrt { 3 + 3 x } d x$$
A) $\frac { 2 \sqrt { 3 } } { 15 } ( 3 x - 1 ) ( x + 1 ) ^ { 3 / 2 } + C$
B) $\frac { 2 \sqrt { 3 } } { 15 } ( 3 x - 2 ) ( x + 1 ) ^ { 3 / 2 } + C$
C) $\frac { 2 \sqrt { 3 } } { 15 } ( 3 x - 2 ) \sqrt { x + 1 } + C$
D) $\frac { 2 } { 15 } ( 3 x - 2 ) \sqrt { x + 1 } + C$

Question

Quizplus · Accepted Answer

The integral can be solved using substitution and a table of integrals. The correct form matches option B.

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

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