> 123!;

求 值

> evalf(100!);

> evalf(Pi,20);

> simplify(a/b+c/d);

展 開

> expand((a+b+c)^2);

分 解

> factor(x^12-1);

> factor(x^12-1,3^(1/2));

> factor(x^12-1,I);

> factor(x^12-1,{3^(1/2),I});

質 因 數 分 解

> ifactor(2^100+1);

微 分

> diff(x^4,x);

> diff(x^4,x$2);

> diff(x^4,x$3);

> diff(x^4,x$4);

積分

> int(x^4*cos(3*x)*exp(2*x),x);

求積分值

> evalf(int(cos(x^2),x=0..1));

> 5/3;

> evalf(5/3);

冪級數展開

> series(cos(x),x=0,20);

> combine(cos(a)*cos(b));

> combine(cos(a)*cos(b)*cos(c));

> expand(cos(a+b));

> expand(cos(a+b+c));

> expand(cos(a-b));

> expand(cos(a-b-c));

求解

> solve(x^2-3*x-7);

解方程組

> solve({2*x+3=4,3*x-y=1});

> solve({x+y+z=1,2*x+y-3=0},{x,y});

化簡

> simplify(1/(1+1/(1+x)));

求和

> sum(k^2,k=1..20);

> sum(k^2,k=1..n);

> sum(k,k=1..n);

> simplify(sum(k,k=1..n));

隱函數微分

> implicitdiff(x^2*y+y^3*x-y,y,x);

> series(x/cos(x^2+x),x=0,10);

> evalf(exp(Pi*163^(1/2)),30);

>