# 急~高等微積分請大師幫忙

Let Cr denote the circle of radius r about the origin in the xy-plane, oriented counterclockwise as viewed from the positive y-axis. Suppose F is a C1 vector field on the complement of the y-axis in R3 such that ∫C1 F‧dx = 5 and curl F(x,y,z) = 3j + (zi-xk) / (x^2+z^2)^2 .Compute ∫Cr F‧dx...
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Let Cr denote the circle of radius r about the origin in the xy-plane, oriented counterclockwise as viewed from the positive y-axis. Suppose F is a C1 vector field on the complement of the y-axis in R3 such that ∫C1 F‧dx = 5 and curl F(x,y,z) = 3j + (zi-xk) / (x^2+z^2)^2 .Compute ∫Cr F‧dx for every r .

Update:
1.題目打錯 是 in the xz-plane

Update 2:
r > 1時 ρ 的上下界是r~1?

還是應該是 1~r?

還是應該是 1~r?

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