Evaluate the Improper Integral $$\int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \frac { d x d y } { \left( x ^ { 2 } + 16 \right) \left( y ^ { 2 } + 49 \right) }$$

question 109

Multiple Choice

Evaluate the improper integral.
- $$\int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \frac { d x d y } { \left( x ^ { 2 } + 16 \right) \left( y ^ { 2 } + 49 \right) }$$

• A) \(\frac { \pi ^ { 2 } } { 168 }\)
• B) \(\frac { \pi } { 112 }\)
• C) \(\frac { \pi } { 168 }\)
• D) \(\frac { \pi ^ { 2 } } { 112 }\)

---

Definitions:

Reinforcing

Refers to the process of increasing the likelihood of a behavior by following it with a reward or positive outcome.

Habituated

The process by which an individual becomes accustomed to a stimulus after repeated exposure, leading to a decrease in their response to that stimulus.

Manipulating Puzzles

The action of assembling or arranging pieces of a puzzle, which involves cognitive and physical manipulation to achieve a specific goal.

Socialize

The process of learning and adapting to the norms, customs, values, and behaviors necessary for participating within a society or group.