Mathematics

Mathematics

Problem

The value of ∫010π[tan⁡−1x]dx\int_{0}^{10\pi} [\tan^{-1} x] dx (where, [.][.] denotes the greatest integer function of xx ) is equal to a. tan⁡1\tan 1 b. 10π10\pi c. 10π−tan⁡110\pi - \tan 1 d. None of these

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