Simple looking integral #2

Calculus Level 3

∫−∞∞dx(x2+1)3 \large \int_{-\infty}^\infty \frac{dx}{(x^2+1)^3}

If the integral above equals to aπb \frac {a\pi}b for coprime positive integers a,ba,b, find a+ba+b.

Tanishq Varshney by Tanishq Varshney
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