1. The problem statement, all variables and given/known data Evaluate the following integrals C = 0inf∫cos(x2) dx and S = 0inf∫sin(x2) dx 2. Relevant equations Hint: use Euler formula to write the integral for F = C + iS. Square the integral and evaluate it in polar coordinates. Temporary add a convergence factor. Answer: C = S = sqrt(pi/8) 3. The attempt at a solution (Abbreviated form) F2 = 1/4 0inf∫ eix^2dx 0inf∫eiy^2dy F2 = pi/2 0inf∫ eir^2 r dr F2 = pi/4 0inf∫eiudu Now I think the convergence factor comes in here, but I am not entirely sure how that works. Thanks!