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SOLVED:Use the function f(z)=(e^i a z-e^i b z) / z^2 and the indented contour in Fig. 108 (Sec. 89) to derive the integration formula ∫0^∞ (cos(a x)-cos(b x))/(x^2) d x=(π)/(2)(b-a) (a ≥0, b ≥0) Then, with the aid of the trigonometric identity 1-cos(2 x)=2 sin^2 x, point out how it follows that ∫0^∞ (sin^2 x)/(x^2) d x=(π)/(2)
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