Find the Indefinite Integral $$\int \sin ^ { 3 } 2 x \cos ^ { 4 } 2 x d x$$

question 117

Multiple Choice

Find the indefinite integral. $$\int \sin ^ { 3 } 2 x \cos ^ { 4 } 2 x d x$$

• A) \(- \frac { 1 } { 70 } \left( 7 - 5 \cos ^ { 2 } 2 x \right) \cos ^ { 5 } 2 x + C\)
• B) \(\frac { 1 } { 2 } \left( 7 - 5 \cos ^ { 2 } 2 x \right) \cos ^ { 5 } 2 x + C\)
• C) \(- \frac { 1 } { 60 } \left( 7 - 5 \cos ^ { 2 } 2 x \right) \cos ^ { 5 } 2 x + C\)
• D) \(- \frac { 1 } { 2 } \left( 7 - 5 \cos ^ { 2 } 2 x \right) \cos ^ { 5 } 2 x + C\)
• E) \(- \frac { 1 } { 70 } \left( 7 - 5 \cos ^ { 2 } 2 x \right) \cos ^ { 5 } 2 x + C\).

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Definitions:

Inequalities in Wealth

The uneven distribution of assets, wealth, and income among individuals or across different groups in society.

Social Class Origins

The background or social status of an individual or group, often determined by wealth, occupation, education, or lineage.

Ability to Succeed

The capacity or potential a person or group has to achieve goals or reach a desired level of success.

Social Class

A division of a society based on social and economic status, affecting access to resources and opportunities.