trapeze rule estimate error
Consider the integral
(a) Write the expression of the trapezoidal rule of integration for approximating I.
How do i find estimate of the error for this approximation in terms of h = (b − a).
(b) Write the formula for the composite application of the trapezoidal rule of integration. Use
n sub-intervals of integration.
(c) Give an estimate for the total error associated with the composite integration formula of
Part(b). Give your estimate of the total error in terms of
h = (b − a)/n. Give also an estimate of the total error in terms of the number n of intervals.
Thanks for your help.