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Aparna Tiwari Grade: 12
        

integrate sin(x-a)dx/sin(x+a)

7 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

I={sinx-a/sinx+a }dx


put x+a=t


  so    dx=dt


 I={sin(t-2a) /sint }dt                     (sina-b=sinacosb-cosasinb)


 I ={sintcos2a -costsin2a/sint }dt


 I ={cos2a - cottsin2a}dt


 I={tcos2a -sin2alogsint} +c


 I={(x+a)cos2a-sin2a.logsin(x+a)} + c

7 years ago
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