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Unformatted text preview: lus. Which approximation above was the best approximation? 2. Sketch the following piecewisedeﬁned function, and evaluate the given deﬁnite integral using FTC and properties of the deﬁnite integral. Shade the regions whose areas contribute to this deﬁnite integral. f ( x ) = e 3 x1 x < √ x x ≥ Z 11 f ( x ) d x = Which region has more AREA: the one to left of the yaxis, or the one to the right ? What is the total shaded AREA? Let f ( b ) = Z b1 f ( x ) d x . Is the value f ( b ) increasing or decreasing when b =1 2 ? when b = 1 2 ? 3. Evaluate these deﬁnite integrals: Z 1 ( e t + et ) 2 d t Z 1 (1 + 2 √ ω ) 2 d ω Z 1 4 t √ 9t 2 d t Z 1 4 t √ 9t d t...
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 Spring '08
 Smith
 Calculus, Angles

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