# Ignited integrals 3

Calculus Level 3

$\int_{0}^{1/2}\dfrac{x^{2}}{(1-x^{2})^{3 / {2}}} \, dx$

Given that the integral above is of the form : $\dfrac{A\sqrt{B}-\pi }{C},$ where $$A$$ and $$C$$ are positive integers, $$B$$ is a square-free integer, find $$A + B + C$$.

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