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i-0 where h is the width of the trapezoids, h = (b-a), and zi = a + ih, i 0, . . . , n,
i-0 where h is the width of the trapezoids, h = (b-a), and zi = a + ih, i 0, . . . , n, are the coordinates of the sides of the trapezoids. The figure above visualizes the idea of the trapezoidal rule Implement this formula in a Python function trapezint( f,a,b,n) . You may need to check and see if b > a, otherwise you may need to swap the variables. For instance, the result of trapez int ( math. sin,0,0.5*math. pi, 10 ) should be 0.9979 (with some numerical error). The result of trapezint( abs,-1,1,10 should be 1.e This assignment is based on Langtangen, Exercise 3.11a.) 1 def trapezint(f,a,b,n): 2h-(b-a) Answer* 4fori in range (n): 5 6 7 8 9 xi-a+(i*h) if b>a: t+-0.5*h*(f(xi)+f (xi+h)) return t if b
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