- #1
Brunetto
- 7
- 0
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:
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?
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:
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?