Use an appropriate choice of contour integrals in the complex plane to show that the integral (along the real axis) below assumes the given value L -∞ x3 1 - dx - i = 2πί 3 Remember to argue for the value of the integral along the chosen curves. You may need to use some of the following values: cos(π/3) = cos(π/6) = sin(2π/3) = √√3/2. sin(π/6) 1/2, and sin(π/3) = cos(π/6) =

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