Thread: Line Integrals - is this allowed?!!

Let R be a region bounded by the curves:

and

I want to verify Green's Theorem in the plane for:



***

For the line integrals part, since the two curves intersect at (-1,0) and (1,0).

Can I use:



In which case they will both be equal to zero and I won't have to integrating?

Although it is not zero , i still like to congratulate you because it is an odd

function


In fact , it is equal to