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CalculusEasyNon-Elementary Integration

Non-Elementary Integration · Easy problem

Given the Dirichlet integral ∫0∞sin⁡xx dx=π2\displaystyle\int_0^{\infty}\dfrac{\sin x}{x}\,dx=\dfrac{\pi}{2}, evaluate ∫−∞∞sin⁡xx dx\displaystyle\int_{-\infty}^{\infty}\dfrac{\sin x}{x}\,dx.