Integrating Vector-Valued Functions
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
State the formula for integrating a vector-valued function with respect to a parameter
u
u
u
.
QUESTION
State the relationship between definite and indefinite integrals for vector functions.
QUESTION
How do you represent the antiderivative of a vector function
r
(
t
)
\textbf{r}(t)
r
(
t
)
?
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ANSWER
R
(
t
)
=
(
F
(
t
)
G
(
t
)
H
(
t
)
)
\textbf{R}(t) = \begin{pmatrix} F(t) \\ G(t) \\ H(t) \end{pmatrix}
R
(
t
)
=
F
(
t
)
G
(
t
)
H
(
t
)
. Each component is the antiderivative of the corresponding component in
r
(
t
)
\textbf{r}(t)
r
(
t
)
.
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