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Post Thu Aug 04, 2016 3:55 pm

Posts: 5
$\int\limits_{0}^{\frac{\pi }{2}}{\left( \arctan \left( 5\tan \left( 2\tan x \right) \right)-\arctan \left( 3\tan \left( 2\tan x \right) \right) \right)\tan xdx}=\pi \coth ^{-1}\left( 12e^{4}-7 \right)$

Both sides do not seem to match numerically.

problem 38, Integration Contest - Season 5

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