midterm1-124practice

# midterm1-124practice - What is the shape of the partial...

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Math 124 Midterm 1 Practice This test is about twice as long as the actual test. For the actual test you are not allowed calculators, books, notes or cheat sheets. The last three problems are somewhat tricky. Problem 1. Calculate Z 2 1 ( t - 2)( t - 3) t 2 dt. Problem 2. Find the area of the region bounded by the curve y = 3 x - 1, the line x = 1 and the x -axis. Problem 3. Calculate Z 2 x 3 1 + x 2 dx Problem 4. Calculate Z e 1 (ln x ) 2 dx Problem 5. Calculate Z π 2 0 sin 3 y cos 4 y dy. Problem 6. Calculate Z x 2 4 - x 2 . Problem 7. Calculate Z x 3 x 2 + 4 x + 6 dx. Problem 8.

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Unformatted text preview: What is the shape of the partial fractions decomposition for x 4 + 1 ( x-1) 3 ( x 2 + 5 x + 6) 2 ? (Do not calculate constants.) Problem 9. Calculate Z dx x 3 + 2 x 2-x-2 . Problem 10. Find the area of the region bounded by the curves y = x 3 , y = x and the line x = 2. Problem 11. It is known that Z 4 1 ( f ( x )-1) dx = 0 . Find Z 1 f (4-3 x ) dx. Problem 12. Calculate π 2 Z-π 2 x + cos x 1 + sin 2 x dx....
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## This note was uploaded on 10/26/2009 for the course CAS MA MA 124 taught by Professor Fedorov during the Spring '09 term at BU.

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midterm1-124practice - What is the shape of the partial...

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