Q71·Section II (Mathematics)·71 of 145The Fourier transform of e−a∣s∣e^{-a|s|}e−a∣s∣ is a Cauchy-type kernelThe inverse Fourier transform of e−∣s∣ae^{-|s|a}e−∣s∣a is: OptionsA2π at2+a2\sqrt{\dfrac2\pi}\,\dfrac a{t^2+a^2}π2t2+a2aB2π at2−a2\sqrt{\dfrac2\pi}\,\dfrac a{t^2-a^2}π2t2−a2aC2π at+a\sqrt{\dfrac2\pi}\,\dfrac a{t+a}π2t+aaD2π at−a\sqrt{\dfrac2\pi}\,\dfrac a{t-a}π2t−aaPick an option to check your answer.Show answerShow solution Report a problem with this question← Q70All questionsQ72 →Keyboard: A–D answer · S solution · ←/→ previous/next