The following must be done in Matlab Coding

Write two user written functions to perform numerical integration using the trapezoid method and Simpson's One Third Method, which you will name trap.method and Simpsons_1_3 respectively. Your function must accept the following arguments for both functions: an independent vector of numbers and a dependent vector of numbers. Your function file must perform the following tasks: a) Check that both vectors are of equal length b) Check that the independent vector in the Simpson's Method has equal spaced intervals. value of the integral return the value of the integral. c) Compute ydx numerically using trapezoid method and return the d) Compute ydx numerically using Simpson's One Third method and