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Math Help - Integrate 1/Quadratic?

  1. #1
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    Integrate 1/Quadratic?

    How do you integrate functions such as this?:

    1/[(x-1)^2]

    I cannot for the life of me see how to do this.

    Thanks


    Also , I know this is not calculus but could someone quickly also say how to solve e^2x + e^-2x = 5/2?
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  2. #2
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    Re: Integrate 1/Quadratic?

    Quote Originally Posted by kinhew93 View Post
    How do you integrate functions such as this?:

    1/[(x-1)^2]
    What is the derivative of \frac{-1}{x-1}~?
    Thanks from topsquark and kinhew93
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    Re: Integrate 1/Quadratic?

    Quote Originally Posted by Plato View Post
    What is the derivative of \frac{-1}{x-1}~?
    (x-1)^-2, thanks!
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    Re: Integrate 1/Quadratic?

    Quote Originally Posted by kinhew93 View Post
    Also , I know this is not calculus but could someone quickly also say how to solve e^2x + e^-2x = 5/2?
    Yes, it should be in its own thread. Please don't do this again.

    Try the substitution y = e^{2x}, then multiply both sides by y.

    -Dan
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    Re: Integrate 1/Quadratic?

    Quote Originally Posted by topsquark View Post
    Yes, it should be in its own thread. Please don't do this again.

    Try the substitution y = e^{2x}, then multiply both sides by y.

    -Dan
    Ok thanks
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