Use Simpson's rule to evaluate the integral. mo! 300 mol F40 ; F20 = 150" Take n = 4. Use a spreadsheet or MatLab to do the calculations. Present your answer by filling in the missing values in the table below and then calculating the value of the integral. (1+ eX) f(x)dx = | Jo (1- x) (0, -x) 0.8 n = 4 a h !! Xo = a = f(x,) = X = f(x1) X2 = f(x2) : !! X3 = f(x3) = X4 = b = f(x4) = %3! Simpson's Rule: h | f(x)dx =[f (xo) + 4f(x1) + 2f (x2) + 4f(x3) + 2f(x4) + . 2f (x-2) + 4f(x-1) ... + f(xn)] Therefore: f(x)dx (18) 1.4.3 Calculate the reactor volume for the values given below: k, = 6 x 10-9 m mol.s P = 10 bar; T = 400 K ; R = 8.3145- (8) mol.K