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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^2-2

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

\pi^2-4

\pi^2-8

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by Sandeep Bhardwaj

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