Evaluate the Improper Integral $$\int _ { - \infty } ^ { \infty } \int _ { - \infty } ^ { \infty } \frac { d x d y } { \left( x ^ { 2 } + 36 \right) \left( y ^ { 2 } + 9 \right) }$$

question 15

Multiple Choice

Evaluate the improper integral.
- $$\int _ { - \infty } ^ { \infty } \int _ { - \infty } ^ { \infty } \frac { d x d y } { \left( x ^ { 2 } + 36 \right) \left( y ^ { 2 } + 9 \right) }$$

• A) \(\frac { \pi ^ { 2 } } { 36 }\)
• B) \(\frac { \pi } { 36 }\)
• C) \(\frac { \pi ^ { 2 } } { 18 }\)
• D) \(\frac { \pi } { 18 }\)

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