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∫011+x21−x2 dx \large \int_{0}^{1} \sqrt{1+\dfrac{x^{2}}{1-x^{2}}} \, dx ∫011+1−x2x2dx
If this integral can be expressed in the really nice form of aπb \dfrac{a \pi}{b} baπ, where a,ba, ba,b are coprime positive integers, find a+ba+ba+b.
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