Write a python code to estimate the integral of the following function from a=input , b=input with n=input using Simpson's 1/3 method. Don't using import f(x) = 0.2 + 25x 200x + 675x? - 900x* + 400x numpy Write the program to estimate the integration using Eq. (5.1) and Eq. (5.2) (5.1) I=24 S(x0) +45(X) + F(x2) S(x2)+4f(x3) + S(x4) + 2h 6 6 +...+2h S(Xn-2) +45 (XR-1) + S (xx) 6 R-1 S(x0) +4 (x) +2 S(xj) + S(x) i=1,3,5 I = (b-a) j-2,4,6 3n (5.2)