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Home > CALC > Chapter 1 > Lesson 1.4.2 > Problem 1-160


The function is graphed below, along with four left endpoint rectangles which approximate the area from to .

  1. Why does it look like there are only three rectangles?

    What happens if the left endpoint is on the -axis?

    Since , the height of the rectangle is .

  2. Recall that area under the -axis is negative, while that above the -axis is positive. Approximate using these four rectangles.

    Sum the areas of all four rectangles together. Remember to treat a rectangle's area as negative if it is below the -axis.