Answer
The LHS is missing the integral sign (and the variable of integration).
Correct statement:$\qquad \displaystyle \int\frac{1}{x}dx=\ln|x|+C$
Work Step by Step
The equality as written, is false.
The intention was probably to write
$\displaystyle \int\frac{1}{x}dx=\ln|x|+C$
(special form of the power rule, when $n=-1)$.
