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Unformatted text preview: lus. Which approximation above was the best approximation? 2. Sketch the following piecewise-dened function, and evaluate the given denite integral us-ing FTC and properties of the denite integral. Shade the regions whose areas contribute to this denite integral. f ( x ) = e 3 x-1 x < x x Z 1-1 f ( x ) d x = Which region has more AREA: the one to left of the y-axis, or the one to the right ? What is the total shaded AREA? Let f ( b ) = Z b-1 f ( x ) d x . Is the value f ( b ) increasing or decreasing when b =-1 2 ? when b = 1 2 ? 3. Evaluate these denite integrals: Z 1 ( e t + e-t ) 2 d t Z 1 (1 + 2 ) 2 d Z 1 4 t 9-t 2 d t Z 1 4 t 9-t d t...
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