How would I show the result below using contour integration? $$\int_{-\infty}^{\infty} \frac{\cos bx - \cos ax}{x^2} dx = \pi (a-b)$$ where a>b>0 using contour integration. Any help would be greatly appreciated, thanks!
How would I show the result below using contour integration?
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integration
complex-analysis
trigonometry
fourier-analysis
contour-integration