Worksheet2_1B - with a trig substitution. 5. Evaluate...

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Math 1B Worksheet 2 Monday, February 1 1. Graph the ellipse given by the equation ( x 2 /a 2 )+( y 2 /b 2 ) = 1 and compute its area, where a and b are constants. What happens when a = b ? 2. Evaluate Z dx ( x - 2) 2 - x 2 + 4 x . 3. Evaluate Z 16 - e 2 x dx . 4. Evaluate the integral Z dx x 2 - 1 in two different ways: first, using partial fractions, then
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Unformatted text preview: with a trig substitution. 5. Evaluate following integrals: a) Z 2 x 2-2 x-2 x 3 + 2 x 2 + 2 x dx ; b) Z 3 e 2 t e 2 t-e t-6 dt ; c) Z dx x x + 1 . d) Z dx x + 3 x . 1...
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This note was uploaded on 01/02/2011 for the course MATH 1B taught by Professor Reshetiken during the Spring '08 term at University of California, Berkeley.

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