# Definite Integral is not hard!

Calculus Level 4

The value of

$\int_0^{\infty}\frac{x}{(1 + x^3)^2} dx$

can be expressed as $$\frac {\pi a \sqrt{b}}{c},$$ where $$a$$ and $$c$$ are coprime and $$b$$ is square-free. Find the value of the sum $$a+b+c.$$

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