In Python code

Exercise B.6: Use the Trapezoidal method The purpose of this exercise is to compute an approximation of the integral I = . - . c-xdx using the Trapezoidal method. a) Plot the function er for x ranging from 10 to 10 and use the plot to argue that Seeds -*dx = 2 -2[e*dx . b) Let T(n, L) be the approximation of the integral je*dx computed by the Trapezoidal method using n subintervals. Develop a program that computes the value of T for a given n and L. c) Extend the program to write out values of T(n, L) in a table with rows cor- responding to n = 100, 200, ..., 500 and columns corresponding to L = 2, 4, 6, 8, 10. d) Extend the program to also print a table of the errors in T(n, L) for the same n and L values as in (c). The exact value of the integral is V. Filename: integrate_exp. Remarks Numerical integration of integrals with finite limits requires a choice of n, while with infinite limits we also need to truncate the domain, i.e., choose L in the present example. The accuracy depends on both n and L. Exercise B.6: Use the Trapezoidal method The purpose of this exercise is to compute an approximation of the integral I = . - . c-xdx using the Trapezoidal method. a) Plot the function er for x ranging from 10 to 10 and use the plot to argue that Seeds -*dx = 2 -2[e*dx . b) Let T(n, L) be the approximation of the integral je*dx computed by the Trapezoidal method using n subintervals. Develop a program that computes the value of T for a given n and L. c) Extend the program to write out values of T(n, L) in a table with rows cor- responding to n = 100, 200, ..., 500 and columns corresponding to L = 2, 4, 6, 8, 10. d) Extend the program to also print a table of the errors in T(n, L) for the same n and L values as in (c). The exact value of the integral is V. Filename: integrate_exp. Remarks Numerical integration of integrals with finite limits requires a choice of n, while with infinite limits we also need to truncate the domain, i.e., choose L in the present example. The accuracy depends on both n and L