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∫−∞∞dx(x2+1)3 \large \int_{-\infty}^\infty \frac{dx}{(x^2+1)^3} ∫−∞∞(x2+1)3dx
If the integral above equals to aπb \frac {a\pi}b baπ for coprime positive integers a,ba,ba,b, find a+ba+ba+b.
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