evaluate using green's theorem line integral (4x^3+sin y^2)dy-(4y^3+cosx^2)dx, where C is the boundary of the region...

Question

Question

evaluate using green's theorem line integral (4x^3+sin y^2)dy-(4y^3+cosx^2)dx, where C is the boundary of the region x^2+y^2 greater equal to 4

math calculus

Answer 1

Answer #1

Here given region is x^2+y^2 greater equal to 4 i.e it is not a closed region but Green's theorem is only applicable to closed regions.

Hence this line integral can not be evaluated.

Answer 2

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