Change the Cartesian Integral to an Equivalent Polar Integral, and Then

question 248

Multiple Choice

Change the Cartesian integral to an equivalent polar integral, and then evaluate.
- $\int _ { - 3 } ^ { 3 } \int _ { - \sqrt { 9 - x ^ { 2 } } } ^ { \sqrt { 9 - x ^ { 2 } } } \frac { 1 } { \left( 1 + x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } } d y d x$

• A) \(\frac { 18 } { 5 } \pi\)
• B) \(\frac { 9 } { 5 } \pi\)
• C) \(\frac { 9 } { 19 } \pi\)
• D) \(\frac { 9 } { 10 } \pi\)

---

Definitions:

Chemical Name

The precise name of a chemical as determined by its molecular structure and nomenclature standards.

Generic Name

The non-branded name of a medication, usually derived from its chemical name and not protected by trademark.

Diuretic

A type of medication or substance that promotes the excretion of urine, used to treat conditions like hypertension.

Urinary Output

The volume of urine excreted by the kidneys over a specific period, an important indicator of kidney and overall fluid balance.