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Math Help - Badly need help with Line Integrals

  1. #1
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    Badly need help with Line Integrals

    Calculate the line integral

     \intc F dr

    where c is given by r(t) = < t, t^2, t^3> , 0<= t <= 1
    and F(x,y,z) = (sin(y) - y^2sin(x) , xcosy + 2ycosx , 1)

    really not sure how to get started on this. any help would be great
    Last edited by linalg123; May 11th 2012 at 11:22 PM.
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  2. #2
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    Re: Badly need help with Line Integrals

    anyone?
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  3. #3
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    Re: Badly need help with Line Integrals

    It's really just straightforward calculation. r(t) = < t, t^2, t^3> so dr= <1, 2t, 3t^2> dt.

    F(x,y,z) = <sin(y) - y^2sin(x) , xcosy + 2ycosx , 1> so F dr= (sin(y)- y^2sin(x))+ 2t(xcos(y)- 2ycos(x))+ 3t^2)dt

    Now replace x and y in that by t and t^2, respectively. Then integrate from t= 0 to t= 1.
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