Problem 5E

If the Trapezoid Rule is used on the interval [−l, 9] with n = 5 subintervals, at what x-coordinates is the integrand evaluated?

Solution:-

Step1

Given that

If the Trapezoid Rule is used on the interval [−l, 9] with n = 5 subintervals.

Step2

To find

what x-coordinates is the integrand evaluated?

Step3

Midpoint rule

Hence the five subintervals are [-1,1],[1,3],[3,5],[5,7],[7,9]

Step4

Hence the x- coordinates at which the integrand is evaluated using Trapezoid Rule are

-1,1,3,5,7,9