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Math Help - area under the curve!

  1. #1
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    area under the curve!

    I have that f(x)= 4x-x^2 and g(x)= x^2 - 6x + 8
    I just want to know which one is bigger than the other one. Since both are parabolas: one facing down, the other one up .. should I just say that f(x) is bigger since its on top?
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  2. #2
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    Depends on what interval for x you are trying to find the area for.

    Do you know? This is for "under the curve" or are you trying to find area between the curves?
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  3. #3
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    sorry, you are right. It's the are between the curves. The graph gives me the interval [1,4].
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  4. #4
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    Interval looks fine,

     \int_{1}^4 \left(f(x)- g(x)\right) ~dx

     \int_{1}^4 \left((4x-x^2)-( x^2 - 6x + 8)\right) ~dx
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