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Inverse Calculus

Calculus Level 3

$\large \displaystyle \int_{-\pi}^{3 \pi} \cot^{-1}(\cot x) \, dx= \ ?$

Note: The range of $\cot^{-1}$ is $(0, \pi )$ .

2 \pi^2

9 \pi^2

3 \pi^2

16 \pi^2

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by Sandeep Bhardwaj

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