Evaluate the following integral: integral^4 _-2 (1 – x – 4x^3 + 2x^5) dx (a) analytically; (b) single application of the trapezoidal rule; (c) composite trapezoidal rule, with n = 2 and 4; (d) single application of Simpson’s 1/3 rule and (e) Simpson’s 3/8 rule;. For each of the numerical estimates (b) through (e) determine the percent relative error based on (a).