x = rcosu, y = rsinux^2+y^2 = r^2 = 2rsinu ==> r = 2sinu曲线 x^2+(y-1)^2 = 1 是一个单位圆,圆心在(0,1).∮L = ∫[0,pi] {∫[0, 2sinu] r^2 rdr} dθ = ∫[0,pi] 4(sinu)^4 dθ = ∫[0,pi] (1-cos2u)^2 dθ= = ∫[0,pi] (1-2cos2u + (1/2)(1-cos4u)) dθ= 3pi/2