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Evaluate the Improper Integral 00dxdy(x2+16)(y2+49)\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.
- 00dxdy(x2+16) (y2+49) \int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \frac { d x d y } { \left( x ^ { 2 } + 16 \right) \left( y ^ { 2 } + 49 \right) }


A) π2168\frac { \pi ^ { 2 } } { 168 }
B) π112\frac { \pi } { 112 }
C) π168\frac { \pi } { 168 }
D) π2112\frac { \pi ^ { 2 } } { 112 }

Correct Answer:

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