# Hot Integrals

Calculus Level 3

$\large \int_{0}^{\infty }\dfrac{dx}{1+x^{3}}$

If the value of the integral above can be expressed in the form $\dfrac{A \sqrt B}C \pi,$ where $$A,B,C$$ are positive integers with $$A,C$$ coprime and $$B$$ square-free, find $$A+B+C$$.

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