# Quiz0Bans - & + 5 1 2 1 x dx x = ( ) 1 5 2 1 2 1 ln + x...

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STAT 410 Fall 2008 Version B 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 ! 5 ln n n n = _______________. ( ) = 1 ! 5 ln n n n = ( ) = 0 ! 5 ln n n n – 1 = e ln 5 – 1 = 5 – 1 = 4 . 2. (2) Evaluate the following integral. ( ) ± π 0 sin dx x x = _______________. ( ) ± 0 sin dx x x by parts u = x dv = sin x dx du = dx v = – cos x ( ) ± 0 sin dx x x = ( ) ± + - 0 0 cos cos dx x x x = ( ) 0 sin x + = .

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3. (2) Evaluate the following integral. + 5 1 2 1 x dx x = _______________.
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Unformatted text preview: & + 5 1 2 1 x dx x = ( ) 1 5 2 1 2 1 ln + x = ( ) ( ) 2 2 1 26 2 1 ln ln-= ( ) 13 2 1 ln . 4. (4) Evaluate the following integral and sketch the area of integration. [ Hint: Change the order of the integration. ] ( ) & & 2 sin dx dy y x = _______________. ( ) & & 2 sin dx dy y x = ( ) & & 2 sin dy dx y y = ( ) & 2 sin dy y y = ( ) 2 2 cos -y = 1 ....
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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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Quiz0Bans - & + 5 1 2 1 x dx x = ( ) 1 5 2 1 2 1 ln + x...

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