A few sample Maple commands:
To graph a function:
> plot(sin(1/x),x=0..1);
To find the indefinite integral of a function:
> integrate(sqrt(1-x^2),x);
To find the definite integral of a function:
> integrate(sqrt(1-x^2),x=0..1);
To draw 20 right-hand boxes approximating the value of the integral of
sin(x2) from 0 to the square root of pi:
>
rightbox(sin(x^2),x=0..sqrt(Pi),20);
To draw 20 midpoint boxes approximating the value of the integral of
sin(x2) from 0 to the square root of pi:
>
middlebox(sin(x^2),x=0..sqrt(Pi),20);
To draw 20 left-hand boxes approximating the value
of the integral of sin(x2) from 0 to the square root of pi:
>
leftbox(sin(x^2),x=0..sqrt(Pi),20);
To produce the sum of 20 left-hand boxes
approximating the value of the integral of sin(x2) from 0 to
the square root of pi:
>
leftsum(sin(x^2),x=0..sqrt(Pi),20);
To show an animation of the creation of a sphere
by revolving half of a circle:
> with(plots):
> animate3d([sin(f)*cos(a*t),sin(f)*sin(a*t),cos(f)],t=0..Pi,f=0..Pi,a=0..2,frames=100,numpoints=1600,scaling=constrained);
To show the slope field of a differential equation:
> with(DEtools):
> DEplot(diff(p(t),t)=-p*(p-2.5),p(t),t=0..5,p=0..5);
To show the slope field along with a solution curve passing through the
point (0,3):
> DEplot(diff(p(t),t)=-p*(p-2.5),p(t),t=0..5,p=0..5,
[[p(0)=3]]);