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Math Help - Please solve this Integration problem,

  1. #1
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    Please solve this Integration problem,

    \int\frac{tan\frac{x}{2}}{1+tan^{2}\frac{x}{2}}<br />

    any help will be appreciated, thanks
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  2. #2
    Junior Member
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    Gothenburg, Sweden
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    \frac{\tan\frac{x}{2}}{1+\tan^{2}\frac{x}{2}} =\frac{\sin\frac{x}{2}\cos\frac{x}{2}}{\cos^2\frac  {x}{2}+\sin^2\frac{x}{2}}=\sin\frac{x}{2}\cos\frac  {x}{2}=\frac{\sin x}{2} so \int\frac{\tan\frac{x}{2}}{1+\tan^{2}\frac{x}{2}}d  x=-\frac{\cos x}{2}+C
    Last edited by DavidEriksson; September 6th 2009 at 08:42 AM. Reason: Forgot dx
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