What is the value of f 4xy²dx + (4x²y + 2)dy when C is the part of the circle x² + y² = 1 from the point (1,0) to the point (0,1) traveling counterclockwise?
What is the value of f 4xy²dx + (4x²y + 2)dy when C is the part of the circle x² + y² = 1 from the point (1,0) to the point (0,1) traveling counterclockwise?
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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![**Problem Statement:**
What is the value of
\[
\int_C 4xy^2dx + (4x^2y + 2)dy
\]
where \( C \) is the part of the circle \( x^2 + y^2 = 1 \) from the point \( (1,0) \) to the point \( (0,1) \) traveling counterclockwise?
**Options:**
- \( 2 \)
- \( -2 \)
- \( 0 \)
- \( 6 \)
- \( -6 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22085295-b609-4bf2-9869-ad93e5d58348%2Fd49da9b2-a1bf-46d4-ba37-11cacffe43a8%2F8k1bbcl_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
What is the value of
\[
\int_C 4xy^2dx + (4x^2y + 2)dy
\]
where \( C \) is the part of the circle \( x^2 + y^2 = 1 \) from the point \( (1,0) \) to the point \( (0,1) \) traveling counterclockwise?
**Options:**
- \( 2 \)
- \( -2 \)
- \( 0 \)
- \( 6 \)
- \( -6 \)
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