Integrating Vector-Valued Functions
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
Card 1
of 28
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
Calculate the integral
r
(
t
)
=
(
3
t
4
)
\textbf{r}(t) = \begin{pmatrix} 3t \\ 4 \end{pmatrix}
r
(
t
)
=
(
3
t
4
)
over
[
1
,
3
]
[1, 3]
[
1
,
3
]
.
QUESTION
How do you represent the antiderivative of a vector function
r
(
t
)
\textbf{r}(t)
r
(
t
)
?
QUESTION
Evaluate the integral
r
(
t
)
=
(
t
t
2
)
\textbf{r}(t) = \begin{pmatrix} t \\ t^2 \end{pmatrix}
r
(
t
)
=
(
t
t
2
)
over
[
1
,
2
]
[1, 2]
[
1
,
2
]
.
Tap to flip before you grade
ANSWER
(
3
2
7
3
)
\begin{pmatrix} \textstyle\frac{3}{2} \\ \textstyle\frac{7}{3} \end{pmatrix}
(
2
3
3
7
)
. Integrate
t
t
t
to get
3
2
\frac{3}{2}
2
3
and
t
2
t^2
t
2
to get
7
3
\frac{7}{3}
3
7
over
[
1
,
2
]
[1,2]
[
1
,
2
]
.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card