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

question 75

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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Average Tax Rate

The proportion of total income that is paid in taxes, calculated by dividing total taxes paid by total income.

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The system or framework of how taxes are imposed in an economy, including rates, bases, and who is taxed.

Tax Structure

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Proportional

Proportional refers to a relationship where two quantities change at the same rate, maintaining a constant ratio between them.