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Math Help - Triangular distribution

  1. #1
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    Triangular distribution

    Let X be a r.v. with density f(x)=(1-|x|)1_{(-1,1)}(x). How do I show that \varphi(u)=\frac{2(1-cosu)}{u^2}.

    Am i on the right track to relate it with cosx=\frac{1}{2}(e^{ix}+e^{-ix}) and sinx=\frac{1}{2i}(e^{ix}-e^{-ix})
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  2. #2
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    Rather use e^{iux} = sin(ux) + i cos(ux)
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