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Math Help - Solving Integrals

  1. #1
    Newbie
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    Solving Integrals

    Hey Everyone

    I'm having a little trouble solving this integral.

    Its kinda hard to do it without the symbols but i'll try my best.

    ~ dx / (x^2 -9) ^ (3/2)

    Now I know the (3/2) power would make the denominator:

    dx / square root ( (x^2 - 9 ) ^ 3)

    I'm just not entirely sure where to head from there. Any suggestions?
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  2. #2
    Junior Member
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    you could try the substitution
    x =3 cosh(u) if you know about hyperbolic functions
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  3. #3
    Math Engineering Student
    Krizalid's Avatar
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    \int{\frac{dx}{\left( x^{2}-9 \right)^{3/2}}}=\int{\frac{dx}{\left( x^{2}-9 \right)\sqrt{x^{2}-9}}}, and put x=\frac1u.
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