a) Develop a VB/VBA function for performing numerical integration using Simpsons rule by completing the code below. You may assume that the code has access to a function g( ByVal x as double) as double which computes values of the mathematical function which is to be integrated. Function Simpsons (ByVal a As Double, ByVal b As Double, ByVal n As Integer) As Double INPUT ARGUMENTS -Lower integration limit b Upper integration limit -Number of panels COMPLETE THIS SECTION OF CODE End Function Page 1 of5 CIVL2050 Engineering Computations and Probability WT 2018 b) Use the function Simpsons ) to approximate the following integral using 6 and 12 panels -4cos() c) Use the Romberg method to estimate the error in your results from (b) and compute a more accurate approximation for the integral