Mathematics

Mathematics

Problem

∫x2+x−1x2+x−6 dx=\int \frac{x^2+x-1}{x^2+x-6}\,dx = (a) x+log⁡(x+3)+log⁡(x−2)+cx+\log(x+3)+\log(x-2)+c (b) x−log⁡(x+3)+log⁡(x−2)+cx-\log(x+3)+\log(x-2)+c (c) x−log⁡(x+3)−log⁡(x−2)+cx-\log(x+3)-\log(x-2)+c (d) None of these (a) x+log⁡(x+3)+log⁡(x−2)+cx+\log(x+3)+\log(x-2)+c (b) x−log⁡(x+3)+log⁡(x−2)+cx-\log(x+3)+\log(x-2)+c (c) x−log⁡(x+3)−log⁡(x−2)+cx-\log(x+3)-\log(x-2)+c (d) None of these

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