Q# 02: Use Green's Theorem in a plane to evaluate the integral S,[(2x² – y²)dx + (x² + y²)dy] Where C is the boundary in xy- plane of the area enclosed by the x-axis and the semi-circle x² + y² = 1 in the upper half of xy-plane.
Q# 02: Use Green's Theorem in a plane to evaluate the integral S,[(2x² – y²)dx + (x² + y²)dy] Where C is the boundary in xy- plane of the area enclosed by the x-axis and the semi-circle x² + y² = 1 in the upper half of xy-plane.
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![Q# 02:
Use Green's Theorem in a plane to evaluate the integral
S,[(2x² – y²)dx + (x² + y²)dy] Where C is the boundary in xy-
plane of the area enclosed by the x-axis and the semi-circle x² + y² = 1 in the upper
half of xy-plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3f8cd4e-c107-48d2-ad4c-5c4513f99d3e%2F64bbaecb-c3bd-4eaa-971f-1f64df8cc21f%2Frozm0x.jpeg&w=3840&q=75)
Transcribed Image Text:Q# 02:
Use Green's Theorem in a plane to evaluate the integral
S,[(2x² – y²)dx + (x² + y²)dy] Where C is the boundary in xy-
plane of the area enclosed by the x-axis and the semi-circle x² + y² = 1 in the upper
half of xy-plane.
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