The area under the curve
Write the sigma notation that will represent the area.
Accurately sketch the function for
rectangles between and . What is the width of each rectangle?
What are the
-values for the endpoints of the rectangles?
Write a linear expression for the endpoints:
Substitute the linear expression you wrote in step 4 into the function for
. This will be the argument of your summation notation.
Modify your answer in part (a) to calculate the area using right endpoint rectangles.
-values should you start and stop with?