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Math Help - Vector field problem

  1. #1
    Junior Member
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    Post Vector field problem

    Consider the vector field:
     f(x,y,z)=(2xy^2-2y^2,2y-4xy+2x^2y,1)
    and let C be any smooth curve joining the origin to the point (1,1,1)
    (a) Show that f is conservative by constructing a scalar patential \phi such that f = \nabla \phi
    (b) Hence determine \int_{C} = f.dr without doing an integral
    (c) Confirm your answer by direct integration using any convenient choice of C.
    Please help
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  2. #2
    Super Member General's Avatar
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    Did you try anything ??
    Do you know the steps for solving the first part ??
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  3. #3
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    sorry about that, I know (a) and (c), needing help with (b), thanks
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