Finding double integral D: x + y In polar coordinates.

Finding double integral D: x + y In polar coordinates.

∫∫D|1-x²-y²|dxdy=∫∫D¹ (1-x²-y²)dxdy+∫∫D² (x²+y²-1)dxdy D¹:x²+y²≤1 ,D² :1≤x²+y²≤4=∫[0,2π]dθ ∫[0,1](1-ρ²)ρdp+∫[...