# A bit off tangent (My sixteenth integration problem)

Calculus Level 3

$\large \displaystyle \int_{0}^{1} \dfrac{1-x^{2}}{1+x^{2}} \, dx$

If the above integral can be expressed in the form

$\dfrac{a \pi}{b} - c$

where $$a, b, c$$ are positive integers and $$a, b$$ are coprime, find $$a+b+c$$.

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