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Question
\[\int\frac{1}{x} \left( \log x \right)^2 dx\]
Solution
\[\int\frac{1}{x} \left( \log x \right)^2 dx\]
\[Let \log x = t\]
\[ \Rightarrow \frac{1}{x} dx = dt\]
\[Now, \int\frac{1}{x} \left( \log x \right)^2 dx\]
\[ = \int t^2 dt\]
\[ = \frac{t^3}{3} + C\]
\[ = \frac{\left( \log x \right)^3}{3} + C\]
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