In this video we are going to talk about Approximating Areas and Distances. With this lesson we are moving towards Definite Integral. First, we are going to take a look at three rectangular approximations for the area under the curve between x=a and x=b. These approximations will consist of summing up areas of a collection of rectangles, and we will be deciding how high to make each rectangle by using Right Endpoint, Left Endpoint or Midpoint. Basically, we will be dividing our interval into n equal length parts. Those parts would describe the base of our rectangles. This is easier to understand by illustrating it because this is very graphical topic and we will do so in our examples.
starting with a sketch of the function.
correct width for the approximating rectangles.
Draw in the first
couple, and last, approximating rectangles.
Be careful to
include the correct function evaluation for each height.
Approximating Areas and Distances
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.