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Complementary inverses

Calculus Level 4

Evaluate \(\displaystyle \int_{1729 \pi}^{1729.5 \pi} \left[ \sin^{-1} (\cos x) +\cos^{-1} ( \sin x ) \right] dx\).

\[\frac{\pi^2}{4}\] \[\pi^2\] \[\frac{\pi^2}{8}\] \[\frac{\pi^2}{2}\]

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by Sandeep Bhardwaj

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