y ≥ 0 --> 上半球:y = √(2x - x²)
∫∫ sin(x² + y²) dxdy
= ∫(0→π) ∫(0→1) sin(r²) * r drdθ
= - π/2 * cos(r²):0→1
= - π/2 * [cos(1) - 1]
= [1 - cos(1)] * π/2
y ≥ 0 --> 上半球:y = √(2x - x²)
∫∫ sin(x² + y²) dxdy
= ∫(0→π) ∫(0→1) sin(r²) * r drdθ
= - π/2 * cos(r²):0→1
= - π/2 * [cos(1) - 1]
= [1 - cos(1)] * π/2