The value of ∫sinnxcosn+6x3x, is 

The value of sinnxcosn+6x3x, is 

  1. A

    3n+3tann/3x+C

  2. B

    3n+3tann/3+1x+C

  3. C

    3n+1tann/3+1x+C

  4. D

    none of these

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    Solution:

    We have,

    I=sinnxcosn+6x3dx=3tannxxsec2xdx

     l=tann/3xd(tanx)=(tanx)n3+1n3+1=3n+3tann3+1x+C

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