Solution Found!
Answer: Green's Theorem for line integrals Use either form
Chapter 13, Problem 31RE(choose chapter or problem)
Green's Theorem for line integrals Use either form of Green's Theorem to evaluate the following line integrals.
\(\oint_{C}\left(x^{3}+x y\right) d y+\left(2 y^{2}-2 x^{2} y\right) d x\); C is the square with vertices \((\pm 1, \pm 1)\) with counterclockwise orientation.
Text Transcription:
oint_C (x^3 + xy)dy + (2y^2 - 2x^2y)dx
(pm1, pm1)
Questions & Answers
QUESTION:
Green's Theorem for line integrals Use either form of Green's Theorem to evaluate the following line integrals.
\(\oint_{C}\left(x^{3}+x y\right) d y+\left(2 y^{2}-2 x^{2} y\right) d x\); C is the square with vertices \((\pm 1, \pm 1)\) with counterclockwise orientation.
Text Transcription:
oint_C (x^3 + xy)dy + (2y^2 - 2x^2y)dx
(pm1, pm1)
ANSWER:Solution 31REStep 1