Integrate the Function $$\int \frac { d x } { x \sqrt { 16 x ^ { 2 } - 36 } }$$

question 228

Multiple Choice

Integrate the function.
- $$\int \frac { d x } { x \sqrt { 16 x ^ { 2 } - 36 } }$$

• A) \(\frac { 2 } { 3 } \sec ^ { - 1 } \frac { 2 } { 3 } x + C\)
• B) \(\frac { 2 } { 3 } \sin ^ { - 1 } \frac { 2 } { 3 } x + C\)
• C) \(\frac { 1 } { 6 } \sec ^ { - 1 } \frac { 2 } { 3 } x + C\)
• D) \(\frac { 1 } { 4 } \sin ^ { - 1 } \frac { 2 } { 3 } x + C\)

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Definitions:

Sexuality

Encompasses sexual orientation, sexual behaviors, and the capacity for sexual feelings.

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An individual's personal sense of their own sexuality, which may include components such as sexual orientation, sexual behavior preferences, and gender identity.

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A cultural value in some Latin American societies that emphasizes smooth, pleasant social interactions, and avoidance of conflict.

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Cognitions and feelings about who one is as a sexual being.