$\text { Find the integral } \int \frac { \sin x } { 13 + \cos ^ { 2 } x } d x \text {. }$

question 29

Multiple Choice

$\text { Find the integral } \int \frac { \sin x } { 13 + \cos ^ { 2 } x } d x \text {. }$

• A) \(- \frac { 1 } { 13 } \arctan ( \cos x \sqrt { 13 } ) + C\)
• B)\(- \sqrt { 13 } \arctan \left( \frac { \sqrt { 13 } } { 13 } \cos x \right) + C\)
• C)\(\sqrt { 13 } \arctan \left( \frac { \sqrt { 13 } } { 13 } \sin x \right) + C\)
• D) \(\frac { \sqrt { 13 } } { 13 } \arctan \left( \frac { \sqrt { 13 } } { 13 } \sin x \right) + C\)
• E) \(- \frac { \sqrt { 13 } } { 13 } \arctan \left( \frac { \sqrt { 13 } } { 13 } \cos x \right) + C\)

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Definitions:

Cerebrum

The largest part of the brain, responsible for higher brain functions such as thought and action.

Encephalization Quotient

A measure of brain size relative to body mass, used to estimate the relative intelligence or cognitive abilities of an animal.

Brain Size

The overall volume or mass of the brain, which can vary significantly between species and is often related to cognitive ability and complexity.

Expected Brain Size

An anticipated measurement or volume of the brain based on factors like age, genetics, and environmental conditions.