Monday, 18 April 2016

complex analysis - Help with improper integral

I need help solving this integral:



$$\int_0 ^\infty \frac{\sin(x)}{x} dx$$




I have a help that says that try to calculate the integral of $$\frac{e^{iz}}{z}$$ for a "proper path"... but I don't know how to use that, help.

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