> Line Integral Examples;
# 
# 
> f1:=cos(t);

                             f1 := cos(t)

> f2:=sin(t);

                             f2 := sin(t)

> plot([f1,f2,t=0..Pi]);

> g:=2+f1^2*f2;

                                      2
                       g := 2 + cos(t)  sin(t)

> int(g*sqrt(diff(f1,t)^2+diff(f2,t)^2),t=0..Pi);

                              2 Pi + 2/3

> A three dimensional example.
# 
> f3:=t/Pi;

                                     t
                              f3 := ----
                                     Pi

> with(plots):
> spacecurve([f1,f2,f3],t=0..Pi,axes=boxed);

> density:=1;

                             density := 1

> wirelength:=int(density*sqrt(diff(f1,t)^2+diff(f2,t)^2+diff(f3,t)^2),t
> =0..Pi);

                                               1
                    wirelength := Pi sqrt(1 + ---)
                                                2
                                              Pi

>