# Quiz0Aans - cos dx x x by parts u = x dv = cos x dx du = dx...

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STAT 410 Fall 2008 Version A Name ANSWERS . Quiz 0 (10 points) Be sure to show all your work, your partial credit might depend on it. No credit will be given without supporting work. 1. (2) Evaluate the following sum. ( ) = 1 ! 3 ln m m m = _______________. ( ) = 1 ! 3 ln m m m = ( ) = 0 ! 3 ln m m m – 1 = e ln 3 – 1 = 3 – 1 = 2 . 2. (2) Evaluate the following integral. ± + 2 3 2 0 1 x dx x = _______________. ± + 2 3 2 0 1 x dx x = ( ) 0 2 3 1 3 1 ln ² ³ ´ µ · + x = ( ) ( ) 1 3 1 9 3 1 ln ln - = ( ) 9 3 1 ln = ( ) 3 3 2 ln .

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3. (2) Evaluate the following integral. ( ) π 0 cos dx x x = _______________. ( ) &
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Unformatted text preview: cos dx x x by parts u = x dv = cos x dx du = dx v = sin x ( ) &amp;amp; cos dx x x = ( ) &amp;amp;-sin sin dx x x x = ( ) cos x = 2 . 4. (4) Evaluate the following integral and sketch the area of integration. [ Hint: Change the order of the integration. ] &amp;amp; &amp;amp; 1 1 2 dy dx y x e = _______________. &amp;amp; &amp;amp; 1 1 2 dy dx y x e = &amp;amp; &amp;amp; 1 2 dx dy x x e = &amp;amp; 1 0 2 dx x x e = 1 2 2 x e = 2 1-e ....
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## This note was uploaded on 10/22/2009 for the course STAT 410 taught by Professor Alexeistepanov during the Fall '08 term at University of Illinois at Urbana–Champaign.

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Quiz0Aans - cos dx x x by parts u = x dv = cos x dx du = dx...

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