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Math Help - integration, calculating surface where f(x):y^2 = ....

  1. #1
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    Exclamation integration, calculating surface where f(x):y^2 = ....

    Hi, I have two functions

    f(x): y^2 = 2x + 4
    g(x): y = x^2


    Now, I need to calculate the surface using those 2 functions.

    I know if f(x) were y = 2x + 4, you would simply do h(x) = f(x) - g(x) and then integrate it from/to the intersecting points

    But thanks to f(x) being a function using y^2, I am completely lost.

    Thanks a lot in advance for helping!
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  2. #2
    MHF Contributor Amer's Avatar
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    Jordan
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    Re: integration, calculating surface where f(x):y^2 = ....

    y^2=2x+4
    \mid y\mid=\sqrt{2x+4}
    and this can be result in two functions
    y=\sqrt{2x+4}\;\;\;\;y^*=-\sqrt{2x+4}

    now u have three functions, can you continue?
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  3. #3
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    Re: integration, calculating surface where f(x):y^2 = ....

    got it, thanks!
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