>>870
D = {(x,y)|x^2+y^2+z^2≦1} → D = {(x,y,z)|x^2+y^2+z^2≦1}
z=r・cosθ
y=r・sinθ・sinφ
x=r・sinθ・cosφ
と置換して、0≦r≦1,0≦θ≦π,0≦φ≦2π
∫∫∫dxdydz/√(1-x^2-y^2-z^2) =∫∫∫r^2・sinθ/√(1-r^2) drdθdφ
=・・・