Worksheets_III - 4 If f(1 12 = and f x ′ is continuous and 4 1 f x)dx 17 ′ = what is the value of f 4 5 Evaluate the integral 2 3 x x 1dx

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Worksheet III On Chapter 4 Integration (28/4/2009) Due Date Tuesday 10/5/2009 Name: ………………………………………. . ID #: ……………………………………. .. Goals: 1. How to apply the Fundamental Theorem of Calculus 2. How to use the Integration by Substitution . 1. Find the derivative. (1) y 2 2 f t si ( y) ntdt = (2) 1 3 2 1 3x u du 1 u y - + = (3) 5x 2 cosx y cos(u )du = 2. Find a function f and a number a such that x 2 a 6 f (t) dt 2 x t + = for all x 0 . 1
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3. Find the interval on which the curve x 2 0 1 dt 1 t t y + = + is concave upward.
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Unformatted text preview: 4. If f(1) 12 = and f ( x) ′ is continuous and 4 1 f ( x)dx 17 ′ = ∫ , what is the value of f( 4) ? 5. Evaluate the integral 2 3 x x 1dx + ∫ by making the substitution 3 u 1 x = + . 2 6. Evaluate the indefinite integral. (1) 1 dx 5 3x-∫ (2) 2 (lnx) dx x ∫ (3) cos t t dt ∫ (4) x x e 1 e dx + ∫ (5) 2 1 x dx 1 x + + ∫ 3 7. Evaluate the definite integral. (1) 2 1/ x 2 1 e dx x ∫ (2) 4 e e dx x lnx ∫ (3) a 2 2 x a x dx-∫ 4...
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This note was uploaded on 10/17/2009 for the course ENG 200812187 taught by Professor Abdalrauaf during the Spring '09 term at United Arab Emirates University.

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Worksheets_III - 4 If f(1 12 = and f x ′ is continuous and 4 1 f x)dx 17 ′ = what is the value of f 4 5 Evaluate the integral 2 3 x x 1dx

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