integration equation sheet

Integration - STRATEGIES for Evaluating INTEGRALS Prof Richard B Goldstein Integral Strategies algebraic simplification trigonometric identity

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STRATEGIES for Evaluating INTEGRALS - Prof. Richard B. Goldstein Integral Strategies simplified form xx x dx 2 1 ++ algebraic simplification x dx 12 1 / sin( )cos( ) 43 d x trigonometric identity [] 1 2 sin( ) sin( ) −+ + d x 25 3 x x dx + algebraic simplification substitution 2 11 3 + x dx, then let u = x -3 2 2 sin( ) d x integration by parts repeat twice let u = x 2 let dv = sin(2x) dx sin xcos x dx 45 substitution let u = sin(x), then du = cos(x) dx and cos 4 x = (1 - u 2 ) 2 24 4 2 3 dx −+ + partial fractions 1 4 1 4 22 x x dx + + + () dx 32 3 65 3 partial fractions A x B x C x D x dx + + + + + +
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This note was uploaded on 04/17/2008 for the course MA 124 taught by Professor N/a during the Spring '08 term at BU.

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