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

question 144

Multiple Choice

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

• 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) \(\frac { 2 } { 15 } ( 3 x - 2 ) \sqrt { x + 1 } + C\)

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Definitions:

Process Range Chart

A control chart that monitors the dispersion or variability of a process, helping to ensure a process is stable and predictable over time.

Variation

Variation refers to the degree of change or difference in a condition or process, often analyzed to improve quality and performance in manufacturing.