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Home > CALC > Chapter 3 > Lesson 3.3.4 > Problem 3-136

3-136.

Write a Riemann sum to estimate for with left endpoint rectangles. Then compute the actual area geometrically and calculate the percent error.

APPROXIMATE AREA:
Left-endpoint Riemann sum:

Notice that there will be rectangles squeezed into a unit interval. This will be a very small , and a very good approximation of the area under the curve.

ACTUAL AREA: If you cannot visualize the familiar geometric shape that is formed when you graph on , then sketch a graph.