Evaluate the following integral:(a) Analytically/symbolic integration (b) The trapezoidal rule with n = 4 [Eq. (6.5)] (c) Simpsons 1/3 rule with n = 4 [Eq. (6.14)] (d) Simpsons 3/8 rule with n = 4...

Evaluate the following integral:(a) Analytically/symbolic integration (b) The trapezoidal rule with n = 4 [Eq. (6.5)] (c) Simpson’s 1/3 rule with n = 4 [Eq. (6.14)] (d) Simpson’s 3/8 rule with n = 4 [Eq. (6.16)] (e) For each of the numerical estimates in (b) through (d), determine the percent relative error Eq. (6.5)Eq. (6.14)Eq. (6.16)