Let C be the positively oriented square with vertices (0,0) , (12,0) , (12,1) , (0,1) . Use Green's Theorem to evaluate the line integral CFdr where F(xy)=8e^yi+7xe^yj

Question

Let C be the positively oriented square with vertices (0,0) , (12,0) , (12,1) , (0,1) . Use Green's Theorem to evaluate the line integral CFdr  where F(xy)=8e^yi+7xe^yj

anonymous · Answer

nm got it

anonymous · Answer

i think its weird to get a negative answer if the parameters are based in the positive first quadrant

anonymous · Answer

can u post ur solution?

anonymous · Answer

F(x,y)= 8e^yi+7xe^yj
the line integral $$\int\limits_{?}^{?}F.dr$$

anonymous · Answer

F(x,y)=<8e^y,7e^y>, where P= 8e^y and Q= 7e^7, Qx=7e^y and Py=8e^y. Greens theorem states int(int(Qx-Py,,dx)dy)

anonymous · Answer

0<x<12 and 0<y<1

anonymous · Answer

=$$\int\limits_{?}^{?}F(r(t)),r'(t) dr$$

anonymous · Answer

thats the fundamental theorem for conservative line intergrals

anonymous · Answer

i m trying to use the line integral for a vector field

anonymous · Answer

int(int(7e^y-8e^y,y,0,1),x,0,12)=-20.619

anonymous · Answer

:S

anonymous · Answer

y negative?

anonymous · Answer

I guess the function is loopy

anonymous · Answer

haha