1. Evaluate the following integrala. Analyticallyb. Numerically using:2020x² + 5x5 + 15x³ + 20x dxi. A single application of trapezoidal rule.ii. Composite trapezoidal rule with n=4.iii. Composite Simpsons' 1/3 rule with n=4iv. Multiple Simpsons' rules with n=5Compute the true error for all the numerical estimates using the analytical valueevaluated in part a.

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1. Evaluate the following integral S² a. Analytically b. Numerically using: -20 20x7 + 5x5 + 15x³ + 20x dx i. ii. A single application of trapezoidal rule. Composite trapezoidal rule with n=4. Composite Simpsons' 1/3 rule with n=4 iv. Multiple Simpsons' rules with n=5 iii. Compute the true error for all the numerical estimates using the analytical value evaluated in part a.