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Examine the Riemann sum at right for the area under .

  1. How many rectangles were used?

    Notice that the index starts at and ends at .

  2. If the area being approximated is over the interval , what are the values of and ?

    General form of a left endpoint Riemann sum:

    is easy to spot in the Riemann sum. Now determine the end value, .

    Notice that , so each rectangle has a width of .

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