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Calculus II                                                          Quiz #3                                             March 9, 2004

Name____________________                   R.  Hammack                                                 Score ______
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(1)  Find the area contained between the graphs y = x - 2,   y = x^2 + 2x,  x = -2, and x = 1.

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A = ∫_ (-2)^1 ((x^2 + 2x) - (x - 2)) dx = ∫_ (-2)^1 (x^2 + x + 2) dx =[x^3/3 + x^2/2 + 2x ] _ (-2)^1

=[1^3/3 + 1^2/2 + 2 (1) ] -[(-2)^3/3 + (-2)^2/2 + 2 (-2) ]

=[1/3 + 1/2 + 2 ] -[-8/3 + 4/2 - 4 ] = 1/3 + 1/2 + 2 + 8/3 - 2 + 4 = 15/2 square units