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 =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
Transcribed Image Text: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 =
Transcribed Image Text: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 =
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