Answer
See the explanation.
Work Step by Step
A vector function is known to be a a function whose domain is a set of real numbers, that is, $D \in N$, and whose range is a set of multidimensional vectors. Let us consider $R(t)$ any vector-valued function in $3D$. To differentiate or integrate a vector-valued function, we will have to differentiate or integrate each component of a function individually or separately.