Solve the Problem $$\int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \frac { 1 } { \left( 4 + x ^ { 2 } + y ^ { 2 } \right) ^ { 5 } } d x d y$$

question 362

Multiple Choice

Solve the problem.
-Evaluate
$$\int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \frac { 1 } { \left( 4 + x ^ { 2 } + y ^ { 2 } \right) ^ { 5 } } d x d y$$

• A) \(\frac { \pi } { 6144 }\)
• B) \(\frac { \pi } { 1536 }\)
• C) \(\frac { \pi } { 1024 }\)
• D) \(\frac { \pi } { 4096 }\)

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Definitions:

Direct Materials

Raw materials that are directly traceable to the production of a specific good or product.

Prime Costs

Refers to the direct costs of manufacturing a product, including direct materials and direct labor.

Conversion Costs

Expenses incurred when transforming raw materials into finished goods, typically including labor and overhead costs.

Direct Materials

Costs of raw materials that are directly involved in the manufacturing of a product and can be easily traced to it.