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12_1_F03

# 12_1_F03 - rational function Do NOT compute the constants v...

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Tufts University Math 12 Department of Mathematics September 22, 2003 Exam I No books, notes, or calculators . Cross out what you do not want us to grade. You must give reasons for full credit. You are required to sign your exam book. 1. (10 points) Find the area of the region bounded by the curves y = x 2 - x and y = 3 x . 2. (10 points) Write out the form of the partial fraction decomposition of the following
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Unformatted text preview: rational function. Do NOT compute the constants. v ( x ) = x 5 + 5 x 4 + 3 x ( x-1) 2 ( x 2 + 4) 3 Evaluate each integral listed below. (10 points each) 3. Z 5 x-3 dx x 2-2 x-3 4. Z 2 1 ln x x 3 dx 5. Z x 3 dx √ 1-x 2 6. Z tan 3 4 x dx 7. Z 2 dx ( x 2 + 4) 2 8. Z cos 3 θ dθ √ sin θ 9. Z x 2 cos x dx 10. Z u 3 + 1 u 3-u 2 du 1...
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