The area under the function
Write the summation notation that will represent the area.
Sketch the function.
rectangles between and .
What is the width for each rectangle? What are the
-values for the heights? ; ; ; ; ;
What expression needs to go into
to convert the integer values to , , , , , ?
Write the summation now. Be careful with your
Make a small change to your answer in part (a) so that the sum will find the area using right-endpoint rectangles.
-values should you start and stop with?
Make a small change to your answer in part (a) so that the sum will find the area using midpoint rectangles.
Change the inside function to:
so that it is starting at the middle of each rectangle.