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

question 25

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:

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Cell Membrane

The cell membrane is a biological membrane that separates the interior of all cells from the outside environment, providing structural support and regulating the movement of substances in and out of the cell.

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A chemical element (O) essential for cellular respiration in living organisms and a component of the earth's atmosphere.