Find the Integral of a Vector-Value Function Suppose a moving object in space has its velocity given by (t) =< -4 cos(-20t), -et, -2 sin(2t) >. Find (t)dt (don't include the +C) [F(t) F(t)dt = < Question Help: Video Submit Question
Find the Integral of a Vector-Value Function Suppose a moving object in space has its velocity given by (t) =< -4 cos(-20t), -et, -2 sin(2t) >. Find (t)dt (don't include the +C) [F(t) F(t)dt = < Question Help: Video Submit Question
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Find the Integral of a Vector-Valued Function**
Suppose a moving object in space has its velocity given by
\(\vec{v}(t) = \langle -4 \cos(-20t), -e^{-t}, -2 \sin(2t) \rangle\).
Find
\(\int \vec{r}(t) \, dt\) (don't include the +C).
\[
\int \vec{r}(t) \, dt = \langle \, \, \, \, \, \, , \, \, \, \, \, \, \rangle
\]
Question Help: [Video](#)
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Transcribed Image Text:**Find the Integral of a Vector-Valued Function**
Suppose a moving object in space has its velocity given by
\(\vec{v}(t) = \langle -4 \cos(-20t), -e^{-t}, -2 \sin(2t) \rangle\).
Find
\(\int \vec{r}(t) \, dt\) (don't include the +C).
\[
\int \vec{r}(t) \, dt = \langle \, \, \, \, \, \, , \, \, \, \, \, \, \rangle
\]
Question Help: [Video](#)
[Submit Question]
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