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Home > CALC > Chapter 3 > Lesson 3.3.2 > Problem 3-106


Examine the Riemann sum below for the area under .

  1. How many rectangles were used?

    Notice that the index starts at and ends at .

    Also recall that , where represents number of rectangles.

  2. If the area being approximated is , what are and ?

    is easy to spot in a Riemann sum. Now find the end-value, .
    General form of a left-endpoint Riemann sum:

    You already computed how many rectangles there are part (a).

    Notice that , so each rectangle has a width of .