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HARSHIT PANT Grade: 12
        integrate sin2x/sin5xsin3x
7 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

sin2x can be written as sin(5x-3x)=sin5xcos3x-sin3xcos5x


   sin2x/sin5x.sin3x=sin5xcos3x-sin3xcos5x/sin5xsin3x


   =cot3x-cot5x


  integral of cot3x-cot5x=logsin3x/3  -  logsin5x/5 + c


                                  =log{(sin3x)^1/3/(sin5x)^1/5} + c


 

7 years ago
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