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Curious definite integral : sine integral times exponential

  1. Nov 18, 2014 #1
    Hello, and thanks for welcoming me in the forum of Physics Forums.

    I just found a curious integral that I solved by Taylor series. I wondered if it comes from a bigger group of integral definitions:
    ##\int_0^\infty \mathrm{Si}(ax)e^{-x}\mathrm{d}x=\mathrm{atan}(a)##
    Where Si(x) is the sine integral function ##\mathrm{Si}(x)=\int_0^x \frac{\mathrm{sin}x}{x}\mathrm{d}x##
  2. jcsd
  3. Nov 18, 2014 #2
    Integration or differentiation successfully I cleared those paper .!!
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