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uday_zingtudor (931)

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Olaaa!! Perrrfect answer. 155  [233 rates]

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4=7)

sin2x=sin(5x-3x)

(sin5xcos3x-cos5xsin3x)sin5xsin3x = cot3x - cot5x

Integrating this, the answer is 1/3ln|sin3x| - 1/5ln|sin5x|


 11)

x/rt(1-x2) + 2/rt(1-x2)

Now integrating this, -rt(1-x2) +2sin-1x

12) csc4x = csc2x(cot2x+1)

               = csc2x + csc2xcot2x

Integrating this u get -cotx -1/3cot3x

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