Worksheet1_1B - f ( x ) = sin 2 x on the interval 0 x 2 ....

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Math 1B Worksheet 1 Monday, January 24 1. Let m and n be constants. Evaluate R e mx sin nx dx . 2. In finding R xe x dx , we would choose u = x and dv = e x dx . Technically, we have many choices for v , namely v = e x + A for any constant A . Show that the answer you get for R xe x dx does not depend on A . 3. Evaluate R π/ 2 π/ 3 sin 7 x dx . 4. Evaluate R sec 3 x tan 5 x dx . 5. Evaluate R tan 2 x dx . 6. Find the average value of
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Unformatted text preview: f ( x ) = sin 2 x on the interval 0 x 2 . Graph f on this interval. Does your answer make sense? 7. Repeat exercise 6 with f ( x ) = sin 4 x . 8. Evaluate R tan 2 x sec x dx . 9. Show that R x n e x dx = x n e x-n R x n-1 e x dx . Use this formula to evaluate R x 4 e x dx . 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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