Sample.ques.Test4 - ∫ + + 4 2 3 3 dx x x 5. Evaluate w/o...

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Antiderivatives: 1. + - du u u 7 2 3 2. + dx x x ) 1 ( 4 3. dw w w w - 4 5 2 3 4. + dt t t t ) cos (tan sec 5. + vdv v csc sin 1 2 Riemman Sums and the Definite Integral: 1. Approximate the area under the curve using right endpoints for y = f(x) if ] 6 , 1 [ int 3 ) ( erval the on x x f + = 2. And approximate the area under the curve y = g(x) on the interval x = 0 to x = 6, where g(x) = e -3x 3. Let’s consider when the function is . ] 4 , 0 [ int 3 3 ) ( 2 erval the over x x x f + + = Divide the interval into n-equal subintervals and use the Riemann Sum and r.h.e.p. to write the Area(as a function of n) skinny little rectangles. Now, find the limit as n ∞. 4. Use the first part of the fundamental theorem of calculus to evaluate
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Unformatted text preview: ∫ + + 4 2 3 3 dx x x 5. Evaluate w/o calculator ∫ +-8 1 2 3 6 dx x x 6. ∫-4 2 sec tan π dx x x 7. ∫ 2 sin 3 dx x You should be able to do 7 without calculator…try it, if not try to let the calculator to tell you the antiderivative only. Then you evaluate the definite integral w/o calculator. 8. One question in the book (number 45 on page 391) asked why ∫-1 1 2 1 dx x is not simply the 1/x evaluated to get -2…? If that presents a problem can we evaluate the following ∫ 9 1 2 1 dx x ?? Why? Or Why not??...
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This test prep was uploaded on 04/10/2008 for the course MATH 1591 taught by Professor Seifert during the Fall '07 term at University of Central Arkansas.

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Sample.ques.Test4 - ∫ + + 4 2 3 3 dx x x 5. Evaluate w/o...

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