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∫−∞∞x2(x2+4)3 dx\large \int _{ -\infty }^{ \infty }{ \frac { { x }^{ 2 } }{ ({ x }^{ 2 }+4)^{ 3 } } } \, dx∫−∞∞(x2+4)3x2dx
The integral shown above can be written as πA2\dfrac { \pi }{ { A }^{ 2 } } A2π. Find the value of ∣A∣|A| ∣A∣.
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