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Sketch a graph of the region bounded by the functions and the -axis.

  1. How can you estimate the area in this region?

    Graph the functions. Shade the region. Find all relevant intersections: Where does intersect with ? Where does each function cross the -axis? How many integrals will you need?

    The functions intersect at . The area should be approximated with rectangles or trapezoids for and added to the area of the triangle for .

  2. Using your method, estimate the area of the region.