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∫02nπmax{sinx,arcsin(sinx)}dx \int_{0}^{2n\pi} max\{\sin x,\arcsin(\sin x)\} dx∫02nπmax{sinx,arcsin(sinx)}dx can be expressed as n×πa−bcn \times \frac{\pi^{a} - b}{c}n×cπa−b. What is the value of a+b+c \displaystyle a+b+ca+b+c?
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