Giá trị \(e^{\int\limits^5_1\frac{\text{dx}}{2x-1}}\) bằng
\(3\). \(8\). \(18\). \(25\). Hướng dẫn giải:Ta có: \(\int\limits^5_1\dfrac{dx}{2x-1}=\dfrac{1}{2}\int\limits^5_1\dfrac{d\left(2x-1\right)}{2x-1}=\ln\left|2x-1\right||^5_1=\ln9-\ln3=\ln3^2-\ln3=2\ln3-\ln3=\ln3\)
Suy ra \(S=e^{\ln3}=3\).