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Indefinitte Integral of Vector Valued Function

  1. Feb 5, 2012 #1
    Hey all!

    My calculus book goes through the proof/derivation of Kepler's first Law of planetary motion and I got to the part where the the indefinite integral of a vector valued function and got the answer plus the constant function. When the constant function was depicted in a diagram it was shown along the x-axis instead of along the vector of the answer. I guess the question I am asking is how to determine what direction the constant function points after computing an indefinite integral.

    For example:


    [itex]\int[/itex]u' dt where u is a vector valued function

    you get

    u + c where c is a constant function.

    How do you determine the direction that c points?
  2. jcsd
  3. Feb 6, 2012 #2
    Is it arbitrary and it's just shown as falling along the x-axis for convenience?
  4. Feb 6, 2012 #3
    Ok I figured it out...
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