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  1. 1. 第十二章 用 MATLAB 计算第二类积分 例 12.6.1 用 MATLAB 计算教材例 12.5.6 的第二类曲线积分 I = ∫ ( x 2 − yz )dx + ( y 2 − xz )dy ( z 2 − xy )dz Γ 解 计算过程如下: syms s y z a b t x=a*cos(t); x=a*cos(t); y=a*sin(t); z=b*t; F=[x^2-y*z; y^2-x*z; z^2-y*x;]; V=[x,y,z]; T=jacobian(V,t); F=F.’*T; I=int(f,0,2*pi) I= 8/3*b^3*pi^3