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Unformatted text preview: Indicate clearly where to nd your answers. 1. (3 points) Evaluate the integral: Z tan 3 x cos 4 x dx 2. (3 points) Use Simpsons Rule to approximate the integral Z 1 1 + cos 2 x dx using n = 4 subintervals. 2 3. For each integral below, determine if it is convergent or divergent. If it is convergent, evaluate it. a) (4 points) Z 1 sec 2 x x x dx b) (4 points) Z 1 x 1x dx 3 4. (6 points) Find the area of the surface obtained by rotating the curve x = 3 y 1 / 3 , 0 y 1, about the xaxis. 4 5. (6 points) Evaluate the integral: Z x 3 1 + x 3 dx 5 (Scratch Paper, Page 1) (Scratch Paper, Page 2)...
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 Spring '09
 DANIEL

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