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Unformatted text preview: 1 2 x 2 d x = Z 6 x 26 x d x = Z 6 x 26 x + 2 d x = 2. If f ( x ) is negative on [ a, b ] , then R b a f ( x ) d x is negative. Why? Werent denite integrals dened to be areas? (Review your denitions.) Sketch the following piecewisedened function, and evaluate the given denite integral in terms of area. Shade the regions whose areas you use to evaluate the denite integral. f ( x ) = 16x 2 x 42 x < x < 32 x 3 Z 44 f ( x ) d x = Suppose that f ( x ) is the velocity (in m/s) of an object at time x in minutes. What is the total distance traveled by the object on [4 , 2 ] ? Should Z 4 f ( x ) d x represent the total distance traveled by the object on [ 0 , 4 ] ? Think about what what a negative velocity means. . ....
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 Spring '08
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 Calculus, Riemann Sums, Angles

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