JaimePerezAparicioPropuesto12112012

math f(x)=e^{-k_1 |x|} = \left\{\begin{matrix} e^{k_1 x}, x<0\\ e^{-k_1 x}, x\geqslant 0 \end{matrix}\right. math

math \int_{-\infty}^{\infty} f(x)e^{-ik_2 x} dx = \int_{-\infty}^{0}e^{ix[k_1 -k_2]} dx + \int_{0}^{\infty} e^{-ix[k_1 + k_2]} dx = \frac{1}{k_{1} - k_{2}} + \frac{1}{k_1 + k_2} = \frac{2k_1}{k_1 ^2 - k_2 ^2} math