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1-160.

graphThe function is graphed at right, along with four left endpoint rectangles which approximate the area under the curve from to . Homework Help ✎

  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 area above the x-axis is positive. Approximate the area under the curve for 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 x-axis.