Evaluate the Integral by Using Multiple Substitutions $\int \sqrt { 8 + \sin ^ { 2 } ( x - 9 ) } \sin ( x - 9 ) \cos ( x - 9 ) d x$

question 246

Multiple Choice

Evaluate the integral by using multiple substitutions.
- $\int \sqrt { 8 + \sin ^ { 2 } ( x - 9 ) } \sin ( x - 9 ) \cos ( x - 9 ) d x$

• A) \(\frac { 3 } { 4 } \sqrt { 8 + \sin ^ { 2 } ( x - 9 ) } + C\)
• B) \(\frac { 1 } { 3 } \left( 8 + \sin ^ { 2 } ( x - 9 ) \right) ^ { 3 / 2 } + C\)
• C) \(\left( 8 + \cos ^ { 2 } ( x - 9 ) \right) ^ { 3 / 2 } + C\)
• D) \(\frac { 1 } { 3 } \left( 8 + \sin ^ { 2 } x \right) ^ { 3 / 2 } + C\)

Identify the phenomena related to sleep transitions and the effects of drug use on sleep and consciousness.

Understand the theories and treatment of insomnia.

Recognize the effects of various drugs and their potential for addiction and treatment.

Comprehend the different states and phenomena of consciousness, including sleep stages, dreams, and their significance.

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Definitions:

Unprocessed Magnetite

Naturally occurring magnetite iron ore that has not undergone any form of beneficiation or refinement.

Articulate Surface

A surface of a bone that makes a joint with another bone, allowing for varying degrees of movement.

Convex Surface

A curved surface that bulges outward, resembling the exterior of a sphere or circle.

Concave Depression

A rounded or hollowed-out area on a surface or body part, often involved in joint articulation.