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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 \( (0, \pi ) \).

\[9 \pi^2\] \[16 \pi^2\] \[2 \pi^2\] \[3 \pi^2\]

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by Sandeep Bhardwaj

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