Evaluate the Indefinite Integral $\int \cos ^{6} x \sin x d x$

question 6

Multiple Choice

Evaluate the indefinite integral. $\int \cos ^{6} x \sin x d x$

• A) \(-\frac{1}{7} \sin ^{7} x+C\)
• B) \(\frac{1}{7} \sin ^{7} x+C\)
• C) \(\frac{1}{7} \cos ^{7} x+C\)
• D) \(-\frac{1}{7} \cos ^{7} x+C\)
• E) \(\frac{1}{7} \cos ^{7} x+C\).

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Definitions:

Cerebellum

A section of the vertebrate brain located at the rear of the skull, tasked with coordinating and regulating muscle activity.

Medulla

The lower part of the brainstem, controlling vital automatic functions like breathing and heart rate.

Largest Part

The component or segment of something that is the biggest in size, volume, or quantity relative to the other components.

Human Brain

The central organ of the human nervous system, responsible for processing sensory information, coordinating movement, and facilitating cognition and emotions.