Course Solutions Uncategorized (Solved) : Fresnel Integrals Occurring Diffraction Theory Defined X Cos T2 Dt S X Sin T Dt 40 Marks W Q32709420 . . . .

(Solved) : Fresnel Integrals Occurring Diffraction Theory Defined X Cos T2 Dt S X Sin T Dt 40 Marks W Q32709420 . . . .

 

The Fresnel integrals occurring in diffraction theory are defined by (x) cos (-t2 ) dt. S(x)-sin t-dt. 40 marks) Write a C program that asks the user for an input of x, and then uses the composite trapezoidal rule with 1000 equally spaced subintervals to evaluate C(x) and S(x)- for any given x, your program should perform the calculation for 500 data points, i.e., the integration is performed for every point in [O: dx: x where dr = x/500. Save your results into a data file and use it to plot C(x) and S(x) against x on the interval [0, 5]. Submit your program, the data file, and the figure to the TAs. Note that you should also check the value of x and make sure that its greater than zero.

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