Evaluate the following integral: *(1-x-4x³+2x5)dx e. Simpson's 3/8 rule f. Boole's rule. For each of the numerical estimates (b) through (f) determine the percent relative error based on (a). Answer: f. 1,104 2. Evaluate the triple integral below (a) analytically, (b) using the composite trapezoidal rule with n = 2, (c) a single application of Simpson's 1/3 rule, and (d) for each approximation, determine the true percent relative error based on (a). (x³ - 2yz)dxdydz Answer: a. 960 d. 40% e. 1,392 b. 1,344 c. 1,344