Question

Write a value of $\int \frac{logx}{x}dx$.

Answer 1

Let $u=\log x\Rightarrow du=\frac{dx}{x}$

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

$=\int u.du$

$=\frac{u^2}{2}+c$

$=\frac{{\left(\log x\right)}^2}{2}+c$