Nếu \(\int {f\left( x \righ...

A

- Hướng dẫn giải

Ta có: \(\int {f\left( x \right){\rm{d}}x = F\left( x \right) + C \Rightarrow F'\left( x \right) = } f\left( x \right)\)

Do đó \(f\left( x \right) = {\left( {\frac{1}{x} + \ln \left| {2x} \right|} \right)^\prime } = {\left( {\frac{1}{x}} \right)^\prime } + {\left( {\ln \left| {2x} \right|} \right)^\prime } =  - \frac{1}{{{x^2}}} + \frac{{{{\left( {2x} \right)}^\prime }}}{{2x}} =  - \frac{1}{{{x^2}}} + \frac{1}{x}\) với \(x \in \left( {0; + \infty } \right)\)