Wednesday, 5 June 2019

The infinite integral of fracsinxx using complex analysis

The problem i came across is the evaluation of 0sinxxdx

I chose the function f(z)=eizz and took a contour of [ε,R]+[R,R+iy]+[R+iy,R+iy]+[R,R+iy]+[R,ε] . The problem is how do I continue now to find integrals on each of these segments ?

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