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∫116tan−1x−1 dx\large \int_{1}^{16} \tan^{-1} \sqrt{\sqrt x - 1} \, dx ∫116tan−1x−1dx
Given that the integral above is equal to aπ−2b a \pi - 2\sqrt baπ−2b, where aaa and bbb are rational numbers, find the value of a×ba\times ba×b.
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