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Midpoint rectangles have their height defined at the midpoint of the interval. For the function graphed below, you previously found the heights to be , , .

  1. Approximate using midpoint rectangles.

    There are only three rectangles.
    No need to use sigma notation.

    Just find the area of each rectangle and add. Be sure to organize your work in a way that others will understand your process.

  1. Find the exact area and compare it with your approximation.

    Find the exact area using a definite integral.