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Home > CALC > Chapter 3 > Lesson 3.3.2 > Problem 3-106
3-106.
Examine the Riemann sum below for the area under
How many rectangles were used?
Notice that the index starts at
and ends at . Also recall that
, where represents number of rectangles. 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 .