《符号计算》word版.docx

1. 微分diff(sym(cos(x)+sin(x)-ex) ans =cos(x) - sin(x) - ex*log(e) diff cos(x)Warning: The method char/diff will be removed in a future release. Use sym/diff instead. For example diff(sym(x2). After removal diff(x2) will return diff(double(x2). In char.diff at 10ans =-sin(x) 2. 积分syms x y z;F2=int(int(int(x2+y2+z2,z,sqrt(x*y),x2*y),y,sqrt(x),x2),x,1,2)VF2=vpa(F2) Warning: Explicit integral could not be found.? Error using = mupadmexError in MuPAD command: Recursive definition See ?MAXDEPTH;during evaluation of hastypeError in = at 56 r = mupadmex(symobj:intdef,f.s,x.s,a.s,b.s); 3. 用MUPADF2=int(int(int(x2+y2+z2,z=sqrt(x*y).x2*y),y=sqrt(x).x2),x=1.2)4. 矩阵M=sym(a b;c d) M = a, b c, d det(M) ans =a*d - b*c diff(sym(xn), sym(n) ans =xn*log(x) 5. 符号演示a1=1/3,pi/7, sqrt(5),pi+sqrt(5)a2=sym(1/3,pi/7, sqrt(5),pi+sqrt(5)a3=sym(1/3,pi/7, sqrt(5),pi+sqrt(5),e)a4=sym(1/3,pi/7, sqrt(5),pi+sqrt(5) a1 = 0.3333 0.4488 2.2361 5.3777a2 = 1/3, pi/7, 5(1/2), 189209612611719/35184372088832a3 = 1/3 - eps/12, pi/7 - (13*eps)/165, (137*eps)/280 + 5(1/2), 189209612611719/35184372088832a4 = 1/3, pi/7, 5(1/2), pi + 5(1/2) 6. 化减表达式y=sym(2*sin(x)*cos(x)y=simple(y) y =2*cos(x)*sin(x)y =sin(2*x) syms A t tao w;yf=int(A*exp(-i/w*t),t,-tao/2,tao/2);Yf=simple(yf) Yf =(A*w*sinh(6*tao)/w)/6 7. 分离分母与分子f=sym(a*x2)/(b-x)n,d=numden(f) f =(a*x2)/(b - x)n =a*x2d =b - x 8. 函数复合syms x y z t u;f = 1/(1 + x2); g = sin(y); h = xt; p = exp(-y/u);a = compose(f,g)jia=f+g jian=f/g a =1/(sin(y)2 + 1)jia =sin(y) + 1/(x2 + 1)jian =1/(sin(y)*(x2 + 1) 9. 求反函数syms f x g;f=x2;g=1/tan(x);finverse(f)finverse(g) Warning: Functional inverse is not unique. 结果不唯一 In D:Program FilesMATLABR2011atoolboxsymbolicsymbolicsymengine.psymengine at 52 In sym.finverse