用截面法求三重积分范围是x^2+y^2-z^<=1,-1<=z<=1,被积函数是x+y+z^...答:∫∫∫(x+y+z^2)dxdydz=∫[0,2pi]dt∫[-1,1]dz∫[0,√(1+z^2)](rcost+rsint+z^2)rdr =∫[0,2pi]dt∫[-1,1] [r^3/3(cost+sint)+r^2/2*z^2)[0,√(1+z^2)]dz =∫[0,2pi]dt∫[-1,1] [(1+z^2)^(3/2)/3(cost+sint)+z^2(1+z^2)/2]dz =∫[0...