2. The left, right, Trapezoidal, and Midpoint Rule approxima- tions were used to estimate fo f(x) dx, where f is the func- tion whose graph is shown. The estimates were 0.7811, 0.8675, 0.8632, and 0.9540, and the same number of sub- intervals were used in each case. (a) Which rule produced which estimate? (b) Between which two approximations does the true value of of(x) dx lie? YA y = f(x) V 0 X N7-16 - Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) 7. V x' - 1 dx, n = 10 8. Joltx6 dx, n = 8 "TT/ 2 9. dx, n = 10 3 1+ + 2 10. 1 + cos x, n = 4 018. (a) Find the approximations T10 and M10 for [[12 e 1/ "' dx. (b) Estimate the errors involved in the approximations of part (a). (c) How large do we have to choose :1 so that the approxi mations T" and M\" to the integral in part (a) are accu rate to within 0.0001