#REPETITIONS, CONDITIONALS, EXPANSIONS AND INTEGRATIONS x:=2: y:=2*'x'; y; d1:=expand((a+b)^2); factor("); x:='x':d2:=diff(cos(x)*sin(x),x); d3:=diff((a+b)^2,b,b); d4:=diff((a+b)^2,b$2); d5:=diff(d1^2,a$3); d6:=exp(I*z);d7:=subs(z=(a+b)^2,d6); g:=d7; g; g:='g'; g; M:=proc(L,X) L*X*sin(X); end; M(T,k+F); d20:=evalf(M(1,2)); Digits:=3; d21:=evalf(M(1,2)); Digits:=6; evalf(M(1,2)); x:='x':d22:=sum(a[i]*x^i,i=1..4); y:='y':d23:=sum(sum(b[i,j]*x^i*y^j,i=0..2),j=0..2); d24:='sum(x^i,i=0..3)'; d24; d25:='diff(x^3,x)'; d25; j(n):=n*2+1; d26:=sum(a[j(n)],n=0..2); d27:=sin(2*z); z:=Pi/3; d27; evalf("); d28:=a*b*c-v*n+n^2; op(1,d28); op(2,d28); coeff(d28,c,1); coeff(d28,n,2); d30:=E^(I*f); evalc(Re(d30)); evalc(Im(d30)); evalc(conjugate(d30)); convert(a+b*I,polar);op(1,"); op(1,convert(d30,polar)); evalc(abs(d30)); for i from 2 by 2 to 10 do a[i]:=x^i od; H:=proc(x) if x<0 then 0 else 1 fi; end; H(-1); H(-0.001); H(0.001); H(1); limit(sin(x)/x,x=0); limit(x*log(x),x=0,right); limit(x*log(x),x=0,left); taylor(sin(x),x=0,4); asympt(cosh(x),x,2); z:='z'; z/(z^2+1); int(",z); x:='x'; int(sin(x)^2*cos(x)^3,x); 'int(x/(b-x),x)'; "; int(",b); int(H,x=-1..1); evalf("); int(H,x=0..1); evalf("); evalf(int(x^2,x=0..1)); x:='x':y:='y':z:='z': int(int(int(x^3*y*z,x=0..1),y=-1..1),z=0..1); 'int(int(x^2*y,x=0..1),y=0..1)'; evalf(");