The theory of diffraction produces the sine integral function Use the Midpoint Rule to approximate Si (1) and Si (10). (Recall that Experiment with the number of subintervals until you obtain approximations that have an error less than 10^-3. A rule of thumb is that if two successive approximations differ by less than 10-3, then the error is usually less than 10^-3.

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sin t - dt. Si (x) Jo lim (sin x)/x = 1.) ||