Again a maximum problem...

Calculus Level 5

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

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