Mathematics

Mathematics

Problem

While evaluating ∫tan⁡−1x dx\displaystyle\int \tan^{-1}x \, dx by writing it as a product tan⁡−1x⋅1\tan^{-1}x\cdot 1, which function should be differentiated so that the remaining integral is easier to compute? a) xx b) 11+x2\dfrac{1}{1+x^{2}} c) tan⁡−1x\tan^{-1}x d) 11

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