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Unformatted text preview: inite integral using FTC and properties of the deﬁnite integral. Shade the regions whose areas contribute to this deﬁnite integral. f ( x ) = 2 sin( πx ) x < √ x x ≥ Z 11 f ( x ) d x = Is your answer positive or negative? What has more area: one “hump” of the function sin( πx ), or the area under the square root function from 0 to 1 ? How much bigger is it? Just looking at your picture and thinking in terms of areas, is the function R x1 f ( t ) d t increasing 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?...
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 Fall '08
 ALL
 Calculus, Derivative, Fundamental Theorem Of Calculus, Limit

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