python

Integrate a function by the trapezoidal rule A further improvement of the approximate integration method from the last question is to divide the area under the f(x) curve into n equally-spaced trapezoids. 4 points Based on this idea, the following formula can be derived for approximating the integral: where h is the width of the trapezoids, h = (b-a), and x = a + ih, i E 0, trapezoids. The figure above visualizes the idea of the trapezoidal rule. ,n, are the coordinates of the sides of the mplement 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.p, 10 ) should be 0.9979 (with some numerical error). The result of trapezint( abs,-1,1,10) should be 1.0 This assignment is based on Langtangen, Exercise 3.11a.) Integrate a function by the trapezoidal rule A further improvement of the approximate integration method from the last question is to divide the area under the f(x) curve into n equally-spaced trapezoids. 4 points Based on this idea, the following formula can be derived for approximating the integral: where h is the width of the trapezoids, h = (b-a), and x = a + ih, i E 0, trapezoids. The figure above visualizes the idea of the trapezoidal rule. ,n, are the coordinates of the sides of the mplement 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.p, 10 ) should be 0.9979 (with some numerical error). The result of trapezint( abs,-1,1,10) should be 1.0 This assignment is based on Langtangen, Exercise 3.11a.)