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:

Rostrum

The anterior part of an organism's body, particularly the nose or snout.

Cartilages

Flexible connective tissues found in various forms in the body, serving to construct and support structures such as the ears, nose, and joints.

Ventrally

Pertaining to the belly or underside of an animal or organ.

Dorsally

Positioned towards the back side of an organism or towards the spine in humans.