(12 points) Use limit of Riemann sums to find the area under the graph of the function: /(x) =9 -x from 0 to 3 using right endpoint of the subintervals. (You will receive '0' if you use integration method to do this problem)you may find these formulas useful! n(n + 1) K= 2 K= 1 K? = n(n + 1)(2n + 1) 6 K=1 k3 m(n+ 1)12 2 The Trapezoidal Rule: [ foodx = > If ( x ) + 2f ( x1 ) + 2f (x2 ) + .. + 2/ (*n-1) + f (xx] where Ax = -2 and x = a + iAx , for 0 sisn. Error bound for Trapezoidal Rule: | E, | M(b-a) 3 12n2 where M, a positive number, is maximum of the second derivative of / in [a,b]. Simpson's Rule: $7 [ ( x o ) + 4f ( x1 ) + 2/ ( x2) + 4f (x;) + ".- + 2f(in-2) + 4f(xm-1) + f (x)] where AX = b-a and a is even. Error bound for Simpson's Rule: |En| M(b-a)5 180n4 where M, a positive number, is maximum of the fourth derivative of f in [a,b]