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syms c x y a b w
f=exp(-j*(c*x^2*(cos(y))^2+a*x*cos(y)+b*x*sin(y)))*x;
int(int(f,y,0,2*pi),x,0,w)
Warning: Explicit integral could not be found.
Warning: Explicit integral could not be found.
ans =
int(int(x/exp(c*x^2*cos(y)^2*i + a*x*cos(y)*i + b*sin(y)*x*i), y = 0..2*pi), x = 0..w)
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