ma252f04e1KEY

ma252f04e1KEY - Math 252, Fall 2004 Scarborough Exam 1 NAME...

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Math 252, Fall 2004 NAME (print) ______________ KEY _____________________ Scarborough Exam 1 NAME (sign) ________________________________________ Student Number ______________________________________ Recitation Time (circle one) 11:00 12:30 2:00 This exam is closed book. Calculators and notes are not allowed. For full credit show all work. Part of the grading will be based on proper use of notation. This exam has 4 pages with 6 problems. You should scan all the problems before you begin the test so you can plan out your time. The time limit on this exam is 50 minutes. If more room is needed please use the back of the pages. 1. A collection of quick problems. ( 5 pts each ) ( a ) x 4 dx ± = x 5 5 + C ( b ) dx x ± = x ± 1 2 ² dx = x 1 2 1 2 (29 + C = 2 x + C ( c ) sin( x ) dx 0 ± ² = ± cos( x ) 0 ² = ± cos( ) ± ( ± cos(0)) = ± ( ± 1) ± ( ± = 2 ( d ) dx cos( x ) ± = sec( x ) dx = ln sec( x ) + tan( x ) + C ±
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Math 252, Fall 2004 Exam 1 Page 2 ( e ) e 5 x dx ± = e 5 x 5 + C ( f ) x 2 dx 0 1 ± = x 3 3 0 1 = 1 3 ± 0 = 1 3 ( g ) dx ± x 2 ² = sin ± 1 ( x ) + C ( h ) tan( x ) dx ± = ln sec( x ) + C ( i ) 2 x + 1 (29 8 dx ± = 1 2 u 8 du = 1 2 u 9 9 ± ² ³ ´ µ · + C = (2 x + 1) 9 18 + C u = 2 x + 1 du = 2 dx ( j ) Given that f ( x ) dx 2 8 ± = 5 and f ( x ) dx = 3 5 8 ± then find f ( x ) dx
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ma252f04e1KEY - Math 252, Fall 2004 Scarborough Exam 1 NAME...

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