\( \int_{-\infty}^{1} \frac{e^{-\sqrt{|x|}}}{\sqrt{|x|}} dx = \int_{0}^{\infty}\frac{e^{-\sqrt{x}}}{\sqrt{x}}dx + \int_{0}^{1}\frac{e^{-\sqrt{x}}}{\sqrt{x}}dx \)
Dan door middel van substitutie \( \sqrt{x} = u\)
vind ik;\( [0--2] + \left[-\frac{2}{e} + 2\right] = 4 - \frac{2}{e} \)
