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Unformatted text preview: sums of squares, cubes, etc. are in the notes or book). Evaluate these denite integrals using ONLY your answer from above and properties of integrals: Z 6 3 x-1 2 x 2 d x = Z 6 x 2-6 x d x = Z 6 x 2-6 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 piecewise-dened function, and evaluate the given def-inite integral in terms of area. Shade the regions whose areas you use to evaluate the denite integral. f ( x ) = 16-x 2 x 4-2 x < x < 3-2 x 3 Z 4-4 f ( x ) d x =...
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