Determine the value of the integral directly the

Question

Evaluate ₃∫⁶ 4/S² ds using the trapezoidal rule and Simpson's rule. Determine

a. The value of the integral directly.

b. The trapezoidal rule estimate for n = 4.

c. An upper bound for |E_T|.

d. The upper bound for |E_T| as a percentage of the integral's true value.

e. The Simpson's rule estimate for n = 4. an upper bound for |E_S|.

f. The upper bound for |E_S| as a percentage of the integral's true value.