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Unformatted text preview: ) 2 / tan( x t will convert any rational function of x sin and x cos into an ordinary rational function of t . (40 pts) (a) If x x t , ) 2 / tan( , show that : 2 1 ) 2 / sin( t t x and 2 1 1 ) 2 / cos( t x (b) Show that: 2 1 2 sin t t x and 2 2 1 1 cos t t x (c) Show that: dt t dx 2 1 2 (d) Use the above substitution to evaluate the integral: x dx sin 5 3 5. Evaluate the improper integral: dx x x ) 1 ( 1 (10 pts) ( Note : The above integral is of both types, type 1 and type 2)....
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This homework help was uploaded on 04/18/2008 for the course MAT 200 taught by Professor Aristidou during the Fall '06 term at DigiPen Institute of Technology.
- Fall '06