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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.   Homework Help ✎

  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?