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Can you generalize it?

Calculus Level 4

\[\large \displaystyle \int_{0}^{8\pi} \max \left( \sin x, \sin^{-1} (\sin x) \right) \, dx= \, ?\]

\[\pi^2-4\] \[\pi^2-2\] \[\frac{4 \left(\pi^2-8 \right)}{3}\] \[\pi^2-8\]

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by Sandeep Bhardwaj

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