用极坐标,积分区域被y = x分开为两部分
D₁是个等腰三角形:y = 0、x = 1、y = x
D₂是个弓形:y = x,y = √(2x - x²)
化为极坐标,
D₁:θ:0→π/4,x = 1 ==> rcosθ = 1 ==> r = secθ
D₂:θ:π/4→π/2,y = √(2x - x²) ==> r² = 2rcosθ ==> r = 2cosθ
所以∫∫D f(x,y) dxdy
= ∫∫D₁ f(x,y) dxdy + ∫∫D₂ f(x,y) dxdy
= ∫(0→π/4) ∫(0→secθ) f(rcosθ,rsinθ) rdrdθ + ∫(π/4→π/2) ∫(0→2cosθ) f(rcosθ,rsinθ) rdrdθ

