A Level

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

∫x−2x(2log⁡x−x) dx=\int \frac{x-2}{x(2 \log x - x)}\,dx = (a) log⁡(2log⁡x−x)+c\log(2 \log x - x) + c (b) log⁡(12log⁡x−x)+c\log\left(\frac{1}{2 \log x - x}\right) + c (c) log⁡(x−2log⁡x)+c\log(x - 2 \log x) + c (d) log⁡(1x−2log⁡x)+c\log\left(\frac{1}{x - 2 \log x}\right) + c

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