Evaluate the Integral by Using Multiple Substitutions $\int \frac { 14 y \sin ^ { 3 } \sqrt { 7 y ^ { 2 } + 5 } \cos \sqrt { 7 y ^ { 2 } + 5 } } { \sqrt { 7 y ^ { 2 } + 5 } } d y$

question 9

Multiple Choice

Evaluate the integral by using multiple substitutions.
- $\int \frac { 14 y \sin ^ { 3 } \sqrt { 7 y ^ { 2 } + 5 } \cos \sqrt { 7 y ^ { 2 } + 5 } } { \sqrt { 7 y ^ { 2 } + 5 } } d y$

• A) \(2 \sin ^ { 4 } \sqrt { 7 y ^ { 2 } + 5 } + C\)
• B) \(\frac { 1 } { 2 } \sin ^ { 4 } \sqrt { 7 y ^ { 2 } + 5 } + C\)
• C) \(\frac { 1 } { 2 } \cos ^ { 4 } \sqrt { 14 \mathrm { y } } + \mathrm { C }\)
• D) \(6 \sin ^ { 2 } \sqrt { 7 y ^ { 2 } + 5 } + C\)

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Definitions:

Tight Culture

A culture that has strict social norms and a low tolerance for deviant behaviors.

Losing Face

A social phenomenon where an individual's status, dignity, or respect is diminished in the eyes of others, often due to a failure or wrongdoing.

Collectivist Culture

Cultures that emphasize the needs and goals of the group as a whole over the needs and wishes of each individual.

Holier-Than-Thou Effect

A cognitive bias where individuals overestimate their moral qualities or behaviors in comparison to others.