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Math Help - Partial fraction question

  1. #1
    Junior Member
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    Partial fraction question

    \int \frac{1}{\sqrt{x}(1-\sqrt{x})}

    = \frac{A}{x} + \frac{B}{\sqrt{x}} + \frac{C}{1-\sqrt{x}}

    1 = Ax(1-\sqrt{x}) + B(1-\sqrt{x}) + C\sqrt{x}

    Is is correct ? I couldn't get A though.



    Thanks in advance.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by xcluded View Post
    \int \frac{1}{\sqrt{x}(1-\sqrt{x})}

    = \frac{A}{x} + \frac{B}{\sqrt{x}} + \frac{C}{1-\sqrt{x}}

    1 = Ax(1-\sqrt{x}) + B(1-\sqrt{x}) + C\sqrt{x}

    Is is correct ? I couldn't get A though.



    Thanks in advance.
    A) partial fractions is done with rational functions. Where the numerator and denominator are polynomials...this is not one of those.

    Try letting z^2=x. You might be pleasantly surprised.
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