>>841

 X = log(x),
 Y = log(y),
 Z = log(z),
とおく。
 |X| + |Y| + |Z| ≦ 1
は原点を中心とする正八面体。
重み exp(X+Y+Z)

 I_1(a) = ∫[0,a] 2cosh(X) dX = 2sinh(a),
 I_2(b) = ∫[0,b] I1(b-Y) 2cosh(Y) dY = 2b・sinh(b),
 I_3(c) = ∫[0,c] I2(c-Z) 2cosh(Z) dZ = (c^2 -1)sinh(c) + c・cosh(c),