Question

$\int \frac{\log x}{x}dx$

Answer 1

$$\begin{gathered} \int \frac{\log x}{x}dx \\ \mathrm{Let},\log x=t \\ \Rightarrow \frac{1}{x}=\frac{dt}{dx} \\ \mathrm{Now},\int \frac{\log x}{x}dx \\ =\int t·dt \\ =\frac{t^2}{2}+C \\ =\frac{{\left(\log x\right)}^2}{2}+\mathrm{C} \end{gathered}$$