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Math Help - Integration problem help please???

  1. #1
    Junior Member
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    Integration problem help please???

    Integral of (sqrt(2x^2-3))/x^2

    Can someone please help me with this problem? I've stared at it and tried to figure it out for half an hour now to no avail.

    Thanks.
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  2. #2
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    Are you trying to say \int \frac{\sqrt{2x^{2 - 3}}}{x^2}
    or \int \sqrt \frac{{2x^{2 - 3}}}{x^2}
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  3. #3
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    Quote Originally Posted by virtuoso735 View Post
    Integral of (sqrt(2x^2-3))/x^2

    Can someone please help me with this problem? I've stared at it and tried to figure it out for half an hour now to no avail.

    Thanks.
    Try trig substitution:

    Let x=\frac{1}{\sqrt{6}} \sec \theta, then 6x^2-1 =\sec^2 \theta -1= \tan^2 \theta

    Then \int \frac{\sqrt{2x^2-3}}{x^2}= \int \frac{\sqrt{\frac{1}{3}(6x^2-1)}}{x^2}=...
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