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Home > PC3 > Chapter 5 > Lesson 5.2.1 > Problem 5-50

5-50.

The area under the curve on the interval from to is to be approximated using ten left endpoint rectangles.   

  1. Write the sigma notation that will represent the area.

    Accurately sketch the function for to .

    Draw 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.

  2. Modify your answer in part (a) to calculate the area using right endpoint rectangles.

    What -values should you start and stop with?