√(x + y + 2)ds, where C' is parmeterized by Find the value of integral r(t) = (5 cos(3t), 2√6 cos(3t), 7 sin(3t)) for 0 ≤ t ≤ π.
√(x + y + 2)ds, where C' is parmeterized by Find the value of integral r(t) = (5 cos(3t), 2√6 cos(3t), 7 sin(3t)) for 0 ≤ t ≤ π.
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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Question
6.2.4
![**Problem Statement**
Find the value of the integral
\[
\int_{C} (x + y + z) \, ds
\]
where \( C \) is parameterized by
\[
\vec{r}(t) = \langle 5 \cos(3t), 2\sqrt{6} \cos(3t), 7 \sin(3t) \rangle
\]
for \( 0 \leq t \leq \pi \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b463452-b960-4b00-bce0-3a69d9f467e2%2F8ce72fbe-95e8-4f3b-a209-c6ea9c9349d8%2F31qyqjf_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement**
Find the value of the integral
\[
\int_{C} (x + y + z) \, ds
\]
where \( C \) is parameterized by
\[
\vec{r}(t) = \langle 5 \cos(3t), 2\sqrt{6} \cos(3t), 7 \sin(3t) \rangle
\]
for \( 0 \leq t \leq \pi \).
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