P = y(x^2+y^2)^m, Q = -x(x^2+y^2)^m
∂Q/∂x = ∂P/∂y
得 -(x^2+y^2)^m - 2mx^2(x^2+y^2)^(m-1)
= (x^2+y^2)^m + 2my^2(x^2+y^2)^(m-1)
则 (2m+2)(x^2+y^2)^m = 0
得 m = -1.
记 C(1,1),选择路径 AC + CB
做功 W = ∫<0,1> P(x,1)dx + ∫<1,2> Q(1,y)dy
= ∫<0,1>dx/ (1+x^2) + ∫<1,2> -dy(1+y^2)
= [arctanx]<0,1> - [arctany]<1,2>
= π/4 - arctan2 + π/4 = π/2 -arctan2