Evaluate the Integral $\int \operatorname { csch } ^ { 2 } \left( 3 - \frac { x } { 8 } \right) d x$

question 84

Multiple Choice

Evaluate the integral.
- $\int \operatorname { csch } ^ { 2 } \left( 3 - \frac { x } { 8 } \right) d x$

• A) \(- \operatorname { coth } \left( 3 - \frac { x } { 8 } \right) + C\)
• B) \(8 \tanh \left( 3 - \frac { x } { 8 } \right) + C\)
• C) \(\frac { 8 } { 3 } \operatorname { csch } ^ { 3 } \left( 3 - \frac { x } { 8 } \right) + C\)
• D) \(8 \operatorname { coth } \left( 3 - \frac { x } { 8 } \right) + C\)

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Definitions:

Championing

Actively supporting or defending a cause, idea, or person.

Propinquity

The physical or psychological proximity between people, which can influence attraction and relationship formation.

Hypothalamus

A bundle of nuclei below the thalamus involved in body temperature, motivation, and emotion.