## anonymous 5 years ago 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

1. anonymous

nm got it

2. anonymous

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

3. anonymous

can u post ur solution?

4. anonymous

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

5. anonymous

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)

6. anonymous

0<x<12 and 0<y<1

7. anonymous

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

8. anonymous

thats the fundamental theorem for conservative line intergrals

9. anonymous

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

10. anonymous

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

11. anonymous

:S

12. anonymous

y negative?

13. anonymous

I guess the function is loopy

14. anonymous

haha