The instructions for the integrals have two parts, one for the Trapezoidal Rule and one for Simpson’s Rule.

I. Using the Trapezoidal Rule

a. Estimate the integral with n = 4 steps and find an upper bound for |E_T|.

b. Evaluate the integral directly and find |E_T|.

c. Use the formula (|E_T|/(true value)) * 100 to express |E_T| as a percentage of the integral’s true value.

II. Using Simpson’s Rule

a. Estimate the integral with n = 4 steps and find an upper bound for |E_S|.

b. Evaluate the integral directly and find |E_S|.

c. Use the formula (|E_S|/(true value)) * 100 to express |E_S| as a percentage of the integral’s true value.

Transcribed Image Text:

2 S² 1 S ds