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:

Lymphatic

Pertaining to the lymphatic system, which is a network of tissues and organs that help rid the body of toxins and waste.

Digestive

Pertaining to digestion or the system in the body involved in the mechanical and chemical breakdown of food.

Respiratory

Relating to or affecting breathing or the organs involved in breathing.

Urinary

Pertaining to the system of organs involved in the formation, storage, and excretion of urine.