Tutorial Exercise Use the Midpoint Rule with the given value

Last updated: 6/10/2023

Tutorial Exercise Use the Midpoint Rule with the given value of n to approximate the integral x 6 dx n 4 Step 1 We must calculate M4 f x ax F x F X f x3 f x4 ax where X X X3 X represent the midpoints of four equal sub intervals of 2 10 Ax 1 1 Since we wish to estimate the area over the interval 2 10 using 4 rectangles of equal widths then each rectangle will have width Ax No Response Step 2 Using f x x 6 to find M 2 x 6 x 6 x 6 X3 Since X X X3 X4 represent the midpoints of the fo x X3 4 sub intervals of 2 10 then we must have the following