[理工] [工數]-積分定理問題2

[roud (對愛絕望)]

                                                    →    →
Using Green's theorem, evaluate the line integral ∮F ˙d r  counterclockwise
around the boundary C of the region, where:        c
        →        →         →              2
        F = xcosy i + x siny j     , R: 1 + x ≦y≦2 , x≧0



ans : -3/2 cos2 + 3/2 sin2 -3/2 sin1

這題想說把他給極座標化,但是cos(sinθ)這邊怎麼積分我就傻了..也不知道解法對不對

希望有人可以幫我解答,萬分感謝!

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推 youmehim:x siny 應該是x^2 siny?