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

question 276

Multiple Choice

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

• A) \(\frac { \pi } { 4 }\)
• B) \(\frac { \pi } { 3 }\)
• C) \(\frac { \pi } { 8 }\)
• D) \(\frac { \pi } { 5 }\)

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