Mathematics

Mathematics

Problem

∫ex−1 dx\int \sqrt{e^x - 1}\,dx is equal to (a) 2[ex−1−tan⁡−1ex−1]+c2\left[\sqrt{e^x - 1} - \tan^{-1}\sqrt{e^x - 1}\right] + c (b) ex−1−tan⁡−1ex−1+c\sqrt{e^x - 1} - \tan^{-1}\sqrt{e^x - 1} + c (c) ex−1+tan⁡−1ex−1+c\sqrt{e^x - 1} + \tan^{-1}\sqrt{e^x - 1} + c (d) 2[ex−1+tan⁡−1ex−1]+c2\left[\sqrt{e^x - 1} + \tan^{-1}\sqrt{e^x - 1}\right] + c (a) 2[ex−1−tan⁡−1ex−1]+c2\left[\sqrt{e^x - 1} - \tan^{-1}\sqrt{e^x - 1}\right] + c (b) ex−1−tan⁡−1ex−1+c\sqrt{e^x - 1} - \tan^{-1}\sqrt{e^x - 1} + c (c) ex−1+tan⁡−1ex−1+c\sqrt{e^x - 1} + \tan^{-1}\sqrt{e^x - 1} + c (d) 2[ex−1+tan⁡−1ex−1]+c2\left[\sqrt{e^x - 1} + \tan^{-1}\sqrt{e^x - 1}\right] + c

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