Mathematics

Mathematics

Problem

∫[log⁡(log⁡x)+1(log⁡x)2] dx=\int \left[ \log(\log x) + \frac{1}{(\log x)^2} \right] \, dx = (a) xlog⁡(log⁡x)+xlog⁡x+cx \log(\log x) + \frac{x}{\log x} + c (b) xlog⁡(log⁡x)−xlog⁡x+cx \log(\log x) - \frac{x}{\log x} + c (c) xlog⁡(log⁡x)+log⁡xx+cx \log(\log x) + \frac{\log x}{x} + c (d) xlog⁡(log⁡x)−log⁡xx+cx \log(\log x) - \frac{\log x}{x} + c (a) xlog⁡(log⁡x)+xlog⁡x+cx \log(\log x) + \frac{x}{\log x} + c (b) xlog⁡(log⁡x)−xlog⁡x+cx \log(\log x) - \frac{x}{\log x} + c (c) xlog⁡(log⁡x)+log⁡xx+cx \log(\log x) + \frac{\log x}{x} + c (d) xlog⁡(log⁡x)−log⁡xx+cx \log(\log x) - \frac{\log x}{x} + c

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