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

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

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

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Solve the Problem ∫0∞∫0∞1(1+x2+y2)2dxdy\int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \frac { 1 } { \left( 1 + x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } } d x d y∫0∞​∫0∞​(1+x2+y2)21​dxdy

Definitions:

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