14th - ≤ x ≤ √ 3. 6. Find the length of the curve y =...

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Math 119 Recitation 14 December 22, 2006 1. Evaluate the integral R 0 x arctan x (1+ x 2 ) 2 dx . 2. Evaluate R 3 dx x x 2 - 9 . 3. Test the integral R 0 dx x +( x ) 2 for convergence. 4. Show that the integral (a) R 0 cos x x 2 +1 dx converges absolutely. (b) R 0 sin x x dx converges. 5. Find the length of the curve y = ln x , for 1
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Unformatted text preview: ≤ x ≤ √ 3. 6. Find the length of the curve y = ln ( e x +1 e x-1 ), from x = 1 to x = 2. 7. Fint the area of the surface obtained by rotating the curve x = 1 3 ( y 2 +2) 3 / 2 , from y = 1 to y = 2 about the x-axis. 1...
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This note was uploaded on 03/31/2010 for the course MATHEMATIC 119 taught by Professor Muhiddinuğuz during the Fall '08 term at Middle East Technical University.

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