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Unformatted text preview: ( 29 ( 29 ( 29 1 csc cot : cot 2 2 1=x x x m substitute: ( 29 ( 29 ( 29 dx x x du x u cot csc , csc= = 2. n is an even integer ( 29 ( 29 ( 29 ( 29 ( 29 âˆ« âˆ«= dx x x x dx x x n m n m 2 2 csc csc cot csc cot express ( 29 ( 29 ( 29 x x x n 2 2 2 cot 1 csc : csc + =substitute: ( 29 ( 29 dx x du x u 2 csc , cot= = 3. m is even and n is odd There is no standard method of evaluation. Possibly use integration by parts. D. ( 29 ( 29 ( 29 [ ] âˆ« âˆ«+ + = dx nx mx nx mx dx nx mx ) cos( cos 2 1 cos cos ( 29 ( 29 [ ] âˆ« âˆ« += dx nx mx nx mx dx nx mx ) cos( ) cos( 2 1 sin sin ( 29 ( 29 ( 29 [ ] âˆ« âˆ«+ + = dx nx mx nx mx dx nx mx ) sin( sin 2 1 cos sin...
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 Spring '08
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 Calculus, Integrals

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