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∫0∞dx(1+x2)(1+x2016)\large \int_0^\infty\dfrac{dx}{(1+x^2)(1+x^{2016})}∫0∞(1+x2)(1+x2016)dx
If the value of the above integral is equal to πA,\dfrac{\pi}{A},Aπ, find AAA.
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