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Math Help - Area between curves

  1. #1
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    Area between curves

    Find the area of the region between the curves x=4-y and x=-3y

    I keep getting 56/3 but that doesnt match any other answer. can someone help me out?
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  2. #2
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    Quote Originally Posted by andrewho93 View Post
    Find the area of the region between the curves x=4-y and x=-3y

    I keep getting 56/3 but that doesnt match any other answer. can someone help me out?

    First, I think it'll be much easier to represent both as functions of x: y=4-x^2\,,\,y=-3x

    These two funtions intersect at x=-1,\,4\Longrightarrow the wanted area is the integral:

    \int\limits^4_{-1}(4-x^2+3x)dx (why? Chech that the parabola lies above the line in the integration interval...)


    I got as answer \frac{125}{6}=20.833333

    Tonio
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