A question about the infinity integration

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Shaojie
Shaojie 2013 年 5 月 29 日
Hello
I made the mablab code for the integration as
syms x y
fx1=exp(i*y*(x-1))/y; fx2=exp(i*y*(x+1))/y; fx11=int(fx1,y); fx22=int(fx2,y);
fxx=i/(2*pi)*(-fx11+fx22);
But the answer shows that
fx11=Ei(y*(x*i - i));
and fx22-fx11 is like - Ei(y*(x*i - i)) + Ei(y*(x*i + i))
Does anyone know what is the capital E here, is there another proper way to do the integration?
Thanks!

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