Use a Table of Integrals to Evaluate the Integral $$\int x \sqrt { 2 + 2 x } d x$$

question 71

Multiple Choice

Use a table of integrals to evaluate the integral. $$\int x \sqrt { 2 + 2 x } d x$$

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

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Definitions:

Disparate Subcomponents

Distinct or divergent parts or elements that make up a larger system, often requiring integration for the system to function efficiently.

Decision Complexity

Refers to the level of difficulty in making a choice due to numerous variables, uncertain outcomes, or interconnected factors.

Vague

Describes something that is unclear, ambiguous, or lacking in specific details.

Pooled Decision Making

A process where members of a group or organization share knowledge and resources to make a decision collectively, rather than independently or hierarchically.