Area under a curve

we can get the area under the curve by integrate the curve equation $y= \frac {1}{x}$ $Area = \int_\frac {1}{\mathrm{e}}^\mathrm{e} \frac {1}{x}\,\mathrm{d}x=\left.\mathrm{ln(x)}\right|_\frac {1}{\mathrm{e}}^\mathrm{e} = \mathrm{1 - (-1)} =$ $2$