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integrate  1/1-tanx

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integrate 

1/1-tanx

  • 1 answers

Naveen Sharma 8 years, 3 months ago

Ans. 11tanxdx

=>11sinxcosxdx

=>cosxcosxsinxdx

Multiply and Divide  By 2, We Get

=>122cosxcosxsinxdx

=>122cosx+sinxsinxcosxsinxdx

=>12(cosx+sinx)+(cosxsinx)cosxsinxdx

=>12(cosx+sinx)cosxsinxdx+12(cosxsinx)cosxsinxdx

=>12(cosx+sinx)cosxsinxdx+12dx

Put (cos x - sin x) = t, then 

(-sin x - cos x)dx = dt   or  -(cos x +sin x) dx = dt

=>12dtt+12dx

=>12logt+12x+C

=>12log(cosxsinx)+12x+C

http://mycbseguide.com/examin8/

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