Met Maple 8:
Code:
> f := x -> 4*x^2+4*x+9;
2
f := x -> 4 x + 4 x + 9
> F := int(f(x),x);
3 2
F := 4/3 x + 2 x + 9 x
> diff(f(x),x);
8 x + 4
> g := x -> sin(x)*cos(x);
g := x -> sin(x) cos(x)
> G := int(g(x),x);
2
G := 1/2 sin(x)
> int(g(x),x=-10..5);
2 2
1/2 sin(5) - 1/2 sin(10)