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Indefinitte Integral of Vector Valued Function 
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#1
Feb512, 11:27 PM

P: 7

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 xaxis 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: If [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
Feb612, 12:01 AM

P: 7

Is it arbitrary and it's just shown as falling along the xaxis for convenience?



#3
Feb612, 12:44 AM

P: 7

Ok I figured it out...



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