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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; cos dx x x = ( ) &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; 1 1 2 dy dx y x e = _______________. &amp; &amp; 1 1 2 dy dx y x e = &amp; &amp; 1 2 dx dy x x e = &amp; 1 0 2 dx x x e = 1 2 2 x e = 2 1e ....
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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.
 Fall '08
 AlexeiStepanov
 Probability

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