P#4. Area under the curve. Write a python program to compute numerically the integral: I = S- Vx 1 dx equation-1 Make use of the Trapezoidal rule' which can be expressed as: 1 = {h(f(x0) +2 X"=\ f (x;) + f(xn)) Equation-2a Variable subscripts can be represented by "i" as in f(x1) = f and runs as 0, 1, 2, 3, ...n and represent nodes or points by which the area under the cruve is divided. fis the function also called the integrand; equal to VX-1 For instance: f, is the function evaluated at X1: f(x1) = f1 = (x1 - 1 h is the step size (another common notation is Ax ) and can be calculated as h = ax = (b-a) Equation #3 on is the number of panels bis the integral's upper limit (for our example b=6) a is the integral's lower limit (for our example a=1) tis a term of the summation which is equal to the multiplication of a coefficient and a function as in 2fi n More specifications: The number of times the function is evaluated to compute Eq#2b is ONE unit greater than the number of panels. For instance, if n = 6 the number of times the function is evaluated is 7. Your first step toward the solution should be to expand Eq#2 to account for the number of terms (7 in this example, with i-index starting in zero and ending in 6). Note also that the coefficient multiplying the functions (f) is one for the first and last terms and two (2) for the rest, i.e., coefficients=c==(1, 2, 2, 2., 2, 1); seven total values. For the testing phase of your program, please be aware that the solution is: X.XXX (do it) Use simple scalars for the representation of x, f(x), c, and terms variables