> Line Integral of Vector Field


> with(plots):
> f1:=cos(t);

                             f1 := cos(t)

> f2:=sin(t);

                             f2 := sin(t)

> F1:=1/(y+0.1);

                                     1
                             F1 := ------
                                   y + .1

> F2:=-1/(x+0.1);

                                      1
                            F2 := - ------
                                    x + .1

> plot1:=fieldplot([F1,F2],x=0.01..1,y=0.01..1,color=blue):
> plot2:=plot([f1,f2,t=0..Pi/2]):
> display({plot1,plot2});

> work:=int((1/(1+f2))*diff(f1,t)-(1/(1+f1))*diff(f2,t),t=0..Pi/2);

                           work := -Pi + 2

>