The instructions for the given integral have two parts, one for the trapezoidal rule and one for Simpson's rule. Complete the following parts. 2 S (₁³ +91) dt 0 I. Using the trapezoidal rule complete the following. a. Estimate the integral with n = 4 steps and find an upper bound for |E₁|- 2 [(²+)- 0 (Simplify your answer.) dt = The upper bound is (Simplify your answer.) b. Evaluate the integral directly and find |ET|- 2 [(1³+9t)dt = 0 (Simplify your answer.) 15₁1=0 (Simplify your answer.) c. Use the formula (E+|/(true value)) x 100 to express |E₁| as a percentage of the integral's true value. (Simplify your answer. Round to the nearest integer as needed.) II. Using Simpson's rule complete the following. a. Estimate the integral with n = 4 steps and find an upper bound for Es. S= (Simplify your answer.) The upper bound is (Simplify your answer.) b. Evaluate the integral directly and find Es 2 [(k +9) dt=[ 0 (Simplify your answer.) |Es=0 (Simplify your answer.) c. Use the formula (Es|/(true value)) x 100 to express |Es as a percentage of the integral's true value. (Simplify your answer.)