When Euler and pi come together

$\begin{aligned} \large \int_{e}^{e^{\pi}} \dfrac{1}{x} \, dx & = \ln(x){\huge \vert}_{e}^{e^{\pi}}\\ \\ & = \ln\left(e^{\pi}\right) - \ln\left(e\right)\\ \\ & = \pi - 1\\ & = 3.14 - 1\\ & = \color{#3D99F6}{\boxed{2.14}} \end{aligned}$