Consider 4

1 4xx^2dx

First, we'll find the left Riemann Sum with n=3 Since n=3, we need to split the interval [1,4] into 3equally sized pieces, each of width

The height of the left-most rectangle is f(1) = 3 . The height of the middle rectangle is f(2) = 4 The height of the right-most rectangle is f(3) = 3

The area of the left-most rectangle is f(1)x= ______ The area of the middle rectangle is f(2)x=____________ The area of the right-most rectangle is f(3)x= _______ Thus, the total area of the rectangles is _______