The definite integral of a function can be evaluated by partitioning the interval between the limits of integration a and b into a number of subintervals of width Ax and summing up the area of the trapezoids: Srcedx = (33) + f(60).ar Note that in this particular case: a=xmin b= xmax Ax = the width of each subinterval (which is assumed to be constant for this exercise). This is denoted by p in Figure 1 above. Deliverables: 1. Submit a MATLAB uger-defined function including headers and comments that implements the Trapezoidal Rule for integration 2. Your function must be thoroughly tested by evaluating the following definite integrals f(x) = Sa+2 z sin(x)dx f(x) = f* x*e*dx f(x) = f(x3 + 2x2 + 3x + 4)dx In each case, analytically determine the exact answer and compare the output of your function with the exact (theoretical result. Repeat this for different number of subintervals