(1 point) In this problem you will use the midpoint rule, the trapezoid rule, and Simpson's rule to estimate the value of the integral I = cos(x/9) da. Since an antiderivative of the integrand can be found, we would not usually use approximate integration for this integral. But this fact allows us to compute the errors of the various approximation methods. The exact value of the integral. The exact value of this integral is I = 3.11774001 (If you use a calculator, be sure you're in radian mode. You may want to store this result as I for use in later parts of the problem. You can round the answer to 4 significant figures before typing into webwork, but be sure to store the unrounded result.) The Midpoint Rule approximation. The approximation to the integral using the midpoint rule with 2 subdivisions is M2 = -2 (You may want to store this as M in your calculator.) The signed error of this approximation is M2 - I = The Trapezoidal Rule approximation. The approximation to the integral using the trapezoid rule with 2 subdivisions is T2 (You may want to store this as T in your calculator.) The signed error of this approximation is T2 - I =