Use a procedure to integrate cube, Programming Languages

Simpson's Rule is a more accurate method of numerical integration than the method described in class. Using Simpson's Rule, the integral of a function f between a and b is approximated as:

2063_Use a Procedure to Integrate Cube.png

where  h = (b  -  a)/n, for some even integer n, and  yk = f(a + kh). (Increasing n increases the accuracy of the  approximation.) Define a procedure that takes as arguments f, a, b, and n and returns  the value of the  integral, computed using Simpson's Rule. Use your procedure to integrate cube between 1 and 2  (with n = 100 and n = 1000)

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