Question

Find the value ofthe integral from 1 to 7 of the natural log of x, dx using three rectangles of equal width, with each right end-point used to find the height of each rectangle.

Answer 1

a.0.5(ln3 + ln5 + ln7)
b.0.5(ln1 + ln3 + ln 5)
c.2(ln3 + ln5 + ln7)
d.ln1 + 2ln3 + 2ln5

Answer 2

First, what is the distance between 1 and 7
if you divide it into 3 equal parts, how wide is each ?

Answer 3

You might find it helpful to graph y=ln x, mark the scale divisions and sketch each of the 3 rectangles "under the curve."