Evaluate the Integral $$\int \frac { 9 d x } { \sqrt { 16 - 81 x ^ { 2 } } }$$

question 15

Multiple Choice

Evaluate the integral.
- $$\int \frac { 9 d x } { \sqrt { 16 - 81 x ^ { 2 } } }$$

• A) \(\frac { 1 } { 4 } \sin ^ { - 1 } \left( \frac { 9 } { 4 } x \right) + C\)
• B) \(\frac { 1 } { 4 } \tan ^ { - 1 } \left( \frac { 9 } { 4 } x \right) + C\)
• C) \(\tan ^ { - 1 } \left( \frac { 9 } { 4 } x \right) + C\)
• D) \(\sin ^ { - 1 } \left( \frac { 9 } { 4 } x \right) + C\)

---

Definitions:

Chorionic Villus Sampling

A prenatal test in which a sample of chorionic villi from the placenta is removed and tested for genetic abnormalities.

Noninvasive Prenatal Testing

A method to screen for certain genetic conditions in a fetus using maternal blood sample without risk to the fetus.

Ultrasound

A medical imaging technique that uses high-frequency sound waves to produce images of structures within the body, commonly used in prenatal care.

Heritability

A measure of how much of the variation in a trait among individuals within a population can be attributed to genetic differences.