Solve the Problem $$\int _ { - \infty } ^ { \infty } \int _ { - \infty } ^ { \infty } \frac { 1 } { \left( 4 + x ^ { 2 } + y ^ { 2 } \right) ^ { 5 } } d x d y$$

question 281

Multiple Choice

Solve the problem.
-Evaluate
$$\int _ { - \infty } ^ { \infty } \int _ { - \infty } ^ { \infty } \frac { 1 } { \left( 4 + x ^ { 2 } + y ^ { 2 } \right) ^ { 5 } } d x d y$$

• A) \(\frac { \pi } { 1280 }\)
• B) \(\frac { \pi } { 2560 }\)
• C) \(\frac { \pi } { 1024 }\)
• D) \(\frac { \pi } { 1536 }\)

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Definitions:

Marginal Revenue

The additional income gained from selling one more unit of a good or service.

Average Revenue

The total revenue received by a firm from selling its products divided by the total quantity of the product sold, essentially the average price per unit sold.

Indistinguishable

Unable to be identified as different or distinct when compared to another.

Average Revenue

The amount of money a firm earns per unit of output sold, calculated by dividing total revenue by the quantity sold.