Tính tích phân $\Large I=\int\limits_{1}^{e}{\left( \dfrac{1}{x}-\dfra

Tính tích phân $\Large I=\int\limits_{1}^{e}{\left( \dfrac{1}{x}-\dfrac{1}{{{x}^{2}}} \right)}dx$

• A. $\Large {I=\dfrac{1}{e}}$
• B. $\Large {I=\dfrac{1}{e}+1}$
• C. $\Large {I=1}$
• D. $\Large {I=e}$

Chọn A

$\Large I=\int\limits_{1}^{e}{\left( \dfrac{1}{x}-\dfrac{1}{{{x}^{2}}} \right)}dx=\left. \left( \ln \left| x \right|+\dfrac{1}{x} \right) \right|_{1}^{e}=\dfrac{1}{e}$.