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∫−11sin(arccosx) dx \displaystyle \int_{-1}^{1} \sin(\arccos x) \, dx ∫−11sin(arccosx)dx
If the above integral can be expressed in the form aπb \dfrac{a \pi}{b} baπ, where a,b a, b a,b are coprime positive integers, then find a+b a+b a+b.
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