Mathematics

Mathematics

Problem

Correct evaluation of ∫x(x−2)(x−1)dx\int \frac{x}{(x-2)(x-1)} dx is (where pp is an arbitrary constant) (a) log⁡e(x−2)2(x−1)+p\log_e \frac{(x-2)^2}{(x-1)} + p (b) log⁡e(x−2)(x−2)+p\log_e \frac{(x-2)}{(x-2)} + p (c) x−1x−2+p\frac{x-1}{x-2} + p (d) 2log⁡e(x−2x−1)+p2 \log_e \left( \frac{x-2}{x-1} \right) + p (a) log⁡e(x−2)2(x−1)+p\log_e \frac{(x-2)^2}{(x-1)} + p (b) log⁡e(x−2)(x−2)+p\log_e \frac{(x-2)}{(x-2)} + p (c) x−1x−2+p\frac{x-1}{x-2} + p (d) 2log⁡e(x−2x−1)+p2 \log_e \left( \frac{x-2}{x-1} \right) + p

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