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Home > PC > Chapter 2 > Lesson 2.3.5 > Problem 2-130

2-130.

Suppose we want to find the area under the curve over the interval using sub-intervals. What is the width of each rectangle?

  1. What will the height of the first rectangle be if we use left-endpoint rectangles?

  2. What will be the height of the first rectangle if we use right-endpoint rectangles?

    Height of .

  3. What will be the height of the last rectangle if we use right-endpoint rectangles?

    For right-endpoint, we start at and go to the end. So you want the height at that .

  4. What will be the height of the last rectangle if we use left-endpoint rectangles?

    For left-endpoint, we start at and go to the . So you want the .

  5. How would your answers change if the interval were and the width of each rectangle were ?