CBSE

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

∫dxex+1−2e−x=\int \frac{dx}{e^x+1-2e^{-x}} = (a) log⁡(ex−1)−log⁡(ex+2)+c\log(e^x-1)-\log(e^x+2)+c (b) 12log⁡(ex−1)−13log⁡(ex+2)+c\frac{1}{2}\log(e^x-1)-\frac{1}{3}\log(e^x+2)+c (c) 13log⁡(ex−1)−13log⁡(ex+2)+c\frac{1}{3}\log(e^x-1)-\frac{1}{3}\log(e^x+2)+c (d) 13log⁡(ex−1)+13log⁡(ex+2)+c\frac{1}{3}\log(e^x-1)+\frac{1}{3}\log(e^x+2)+c

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