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Math Help - integration of square root ?

  1. #1
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    integration of square root ?

    \int{\sqrt{\frac{a^2b^2x^2-b^2x^2}{a^2}}}dx


    Please help me to solve this super challenging question !
    Last edited by Zachary; September 5th 2009 at 11:57 PM.
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  2. #2
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    Quote Originally Posted by Zachary View Post
    \int{\sqrt{\frac{{{a^2b^2x^2-b^2}}x^2}{a^2}}}dx


    Please help me to solve this super challenging question !
    Try simplifying the radical. Note that \sqrt{x^2} = |x|.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Zachary View Post
    \int{\sqrt{\frac{{{a^2b^2x^2-b^2}}x^2}{a^2}}}dx


    Please help me to solve this super challenging question !
    Please check your LaTeX:

    \int{\sqrt{\frac{{{a^2b^2x^2-b^2}}x^2}{a^2}}}dx

    You seem to have too many {} for the post to mean what you think it means

    CB
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  4. #4
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    Quote Originally Posted by CaptainBlack View Post
    Please check your LaTeX:

    \int{\sqrt{\frac{{{a^2b^2x^2-b^2}}x^2}{a^2}}}dx

    You seem to have too many {} for the post to mean what you think it means

    CB
    sorry for that! now is better.
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  5. #5
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    Quote Originally Posted by Zachary View Post
    sorry for that! now is better.
    The advice given in post #2 still applies.
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  6. #6
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    Mr fantastic's point being that \sqrt{a^2b^2x^2-b^2x^2}= |bx|\sqrt{a^2- 1}
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  7. #7
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    Quote Originally Posted by HallsofIvy View Post
    Mr fantastic's point being that \sqrt{a^2b^2x^2-b^2x^2}= |bx|\sqrt{a^2- 1}
    ..and what was meant to be implied in post 3 is that it seems unlikely that that was what was intended.

    CB
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  8. #8
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    Quote Originally Posted by CaptainBlack View Post
    ..and what was meant to be implied in post 3 is that it seems unlikely that that was what was intended.

    CB
    Indeed. But the moral of the story for all OP's is that it's only the question that's actually posted that will get answered, even when this is not the question that was intended ....
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