If you are not EXPERIANT, please do not answer it Answer the question by using C language not C++ Use Dev-C++ to code and run all of your programs (they should be properly commented). Solution of problems should contain screen shots of your program code and its outputs. Simpson's 1/3^rd rule is an extension of Trapezoidal rule where the integrand is approximated by a second order polynomial instead of a first order polynomial. For a given function f(x) the integral of f(x) over an interval [a, b] using Simpson's 1/3^rd rule is given by: integral^b_a f(x) dx = h/3 [f (x_0) + 4 sigma^infinity_n - 1_i = 1 i = odd f(x_i) + 2 sigma^n - 2_i = 2 i = even f(x_i) + f(x_n)] Where, n is the number of subintervals and h is the width of each subinterval. Write a complete C language program that implements Simpson's 1/3^rd rule to approximate the following integral: integral^8.5_1.5 x^3 cos (x) + x^3 sin (x) dx (assume n = 200)