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Relation between integrals

  1. Jul 2, 2014 #1
    Is there a formal relation that links
    [itex]\int yxdx[/itex] OR [itex]\int_{a}^{b}yxdx[/itex]
    with
    [itex]\int xydy[/itex] OR [itex]\int_{a}^{b}xydy[/itex]
    where [itex]y=f(x)[/itex] over the interval [itex]x\in\left[a,b\right][/itex].
     
  2. jcsd
  3. Jul 2, 2014 #2

    mathman

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    For the indefinite integral (assuming everything is nice):
    [itex]\int xydy =\int xyy'dx[/itex]

    For the definite integral there is a a similar relationship, but be careful with the limits. For the dx integral, the limits refer to x, while for the dy integral, the limits refer to y.
     
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