Mathematics

Mathematics

Problem

∫(x−1)(x+1)x3+x2+xdx\int \frac{(x-1)}{(x+1) \sqrt{x^3 + x^2 + x}} dx a. tan⁡−1(x+1x+1)+C\tan^{-1} \left( x + \frac{1}{x} + 1 \right) + C b. tan⁡−1x+1x+1+C\tan^{-1} \sqrt{x + \frac{1}{x} + 1} + C c. 2tan⁡−1x+1x+1+C2 \tan^{-1} \sqrt{x + \frac{1}{x} + 1} + C d. None of these

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