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 = 0.2 + 25x 200x +675x3 - 900x4 + 400.x5 numpy Write the program to estimate the integration using Eq. (5.1) and Eq. (5.2) (5.1) f(x0) +45 (x1+ (x2) I=2h $(x2)+48 (23) + f(x4) + 2h 6 6 f(x-2) +48 (XR-1) + f(x) +...+ 2h 6 11-2) + 1-2 f (x0) +4 = f(x) + f(x) + f(x) i=1,3,5 j=2,4,6 I=(b-a) 3n (5.2)