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Thread: Definite Integral

  1. January 15th 2009, 06:45 AM #1
    pankaj
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    Definite Integral

    Evaluate:

    <br /> \int_{0}^{1}\frac{2x-(1+x^2)^2 cot^{-1}x}{(1+x^2)(1-(1-x^2)cot^{-1}x)}dx<br />
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  2. January 15th 2009, 07:41 AM #2
    Isomorphism
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    Quote Originally Posted by pankaj View Post
    Evaluate:

    <br /> \int_{0}^{1}\frac{2x-(1+x^2)^2 cot^{-1}x}{(1+x^2)(1-(1-x^2)cot^{-1}x)}dx<br />
    Did you try substituting x = \cot \theta ?
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