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Evaluate the Improper Integral dxdy(x2+36)(y2+9)\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.
- dxdy(x2+36) (y2+9) \int _ { - \infty } ^ { \infty } \int _ { - \infty } ^ { \infty } \frac { d x d y } { \left( x ^ { 2 } + 36 \right) \left( y ^ { 2 } + 9 \right) }


A) π236\frac { \pi ^ { 2 } } { 36 }
B) π36\frac { \pi } { 36 }
C) π218\frac { \pi ^ { 2 } } { 18 }
D) π18\frac { \pi } { 18 }

Correct Answer:

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