Theory and ExamplesAntiderivatives of vector functionsa.
Chapter 13, Problem 41E(choose chapter or problem)
Problem 41E
Theory and Examples
Antiderivatives of vector functions
a. Use Corollary 2 of the Mean Value Theorem for scalar functions to show that if two vector functions have identical derivatives on an interval I, then the functions differ by a constant vector value throughout I.
b. Use the result in part (a) to show that if R(t) is any antiderivative of r(t) on I, then any other antiderivative of r on I equals for some constant vector C.
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