Problem 12E

Midpoint Rule approximations

Find the indicated Midpoint Rule approximations to the following integrals.

using n = 1, 2, and 4 subintervals

Problem 12E

Midpoint Rule approximations Find the indicated Midpoint Rule approximations to the following integrals. using subintervals.

Solution

Step 1

In this problem we have to find the midpoint rule approximation to using subintervals.

First let us see about midpoint rule approximation.

The midpoint sum (or midpoint rule approximation) using midpoints of subintervals n is given by

…. (1)

where