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Math Help - Integration

  1. #1
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    Integration

    Hi, any ideas with this one?

    \int \sqrt{\frac{x+5}{x-5}} dx
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Integration

    Have you tried the substitution t=\frac{x+5}{x-5}?
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  3. #3
    MHF Contributor alexmahone's Avatar
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    Re: Integration

    Quote Originally Posted by sjmiller View Post
    Hi, any ideas with this one?

    \int \sqrt{\frac{x+5}{x-5}} dx
    \int \sqrt{\frac{x+5}{x-5}} dx=\int\frac{x+5}{\sqrt{x^2-25}}dx

    =\int\left(\frac{x}{\sqrt{x^2-25}}+\frac{5}{\sqrt{x^2-25}}\right)dx

    Now can you proceed?
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