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Math Help - Line Integral

  1. #1
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    Line Integral

    Evaluate the integral: (x + y)dx + ( y - x)dy as a line integral

    where
    G is the path, from (1,1) to (4,2), described by a straight line: 3y - x = 2

    I tried using green's theorem but I don't think this is correct, could someone help me with which method to use, thanks

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  2. #2
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    Quote Originally Posted by jpquinn91 View Post
    Evaluate the integral: (x + y)dx + ( y - x)dy as a line integral



    where
    G is the path, from (1,1) to (4,2), described by a straight line: 3y - x = 2


    I tried using green's theorem but I don't think this is correct, could someone help me with which method to use, thanks
    Sure. If x = 3y - 2 then dx = 3 dy so

    <br />
\int_c (x+y)dx+(y-x)dy = \int_1^2 (3y-2+y)3dy +(y-3y+2)dy<br />

    Now simplify and integrate.
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