Express the function f(x) = -ekx, for x < 0 f(x) = -ekx, for x > 0. as Fourier integral and prove that - \[\int_0^{\infty{}}\frac{wSin\ wx}{w^2+k^2}\] dw = ?/2 e-kx, if x > 0, k

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Express the function f(x) = -ekx, for x < 0 f(x) = -ekx, for x > 0. as Fourier integral and prove that - \[\int_0^{\infty{}}\frac{wSin\ wx}{w^2+k^2}\] dw = ?/2 e-kx, if x > 0, k > 0

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engineering mathematics

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