dIntegration by Parts %3D = Sinx f'=COSxdx 9'= cosxdxg = Sinx Ssinx cosidx =(Sinc)(Sin x)- Sinxcosx dx. 2f Sinx Cosx dx= Sin?x+C Sin?y +C 56 Evalate Sin x Cosx dx by four methodls a the Substitution u=COsx du-Sinx elx fsinx Cosx de = =-,c=-Cos c ful-du=-fudu cosX C %3D ) the Substitution u= Sinx du= Cos dx fsinx COsx dx = fudu =+C=Sin C !! 2. C) the identity Sin 2=2 Sinx Cosx Sinccosx= Sin 2x %D Ssinx casxdx =ź Sin 2xdx =& cos =cas4+C 22)+C =
dIntegration by Parts %3D = Sinx f'=COSxdx 9'= cosxdxg = Sinx Ssinx cosidx =(Sinc)(Sin x)- Sinxcosx dx. 2f Sinx Cosx dx= Sin?x+C Sin?y +C 56 Evalate Sin x Cosx dx by four methodls a the Substitution u=COsx du-Sinx elx fsinx Cosx de = =-,c=-Cos c ful-du=-fudu cosX C %3D ) the Substitution u= Sinx du= Cos dx fsinx COsx dx = fudu =+C=Sin C !! 2. C) the identity Sin 2=2 Sinx Cosx Sinccosx= Sin 2x %D Ssinx casxdx =ź Sin 2xdx =& cos =cas4+C 22)+C =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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