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Unformatted text preview: this denite integral. f ( x ) = sin( x ) x < x x Z 1-1 f ( x ) d x = Is your answer positive or negative? So, what has more area: one hump of the function sin( x ) , or the area under the square root function from to 1 ? How much bigger is it? Just looking at your picture and thinking in terms of areas, is the function R x-1 f ( t ) d t increas-ing or decreasing at x =-1 2 ? at x = 0 ? at x = 1 2 ? Is it changing more rapidly at x = 1 2 or at x = 1 ? 3. Evaluate the integrals: Z 1 e t-e-t e t d t Z 9 1 2- w 2 d Which integral is the same as the area under the curve on its given interval?...
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