Hey thanks. I did think that the curve went through the third and fourth quadrants because I thought the standard convention of angular displacement was counterclockwise. I failed to notice that the curve, as written, had to be in the first and second quadrant.
So if I integrate over the curve and parameterize the curve as I get unless I'm doing something wrong. And if I do that integration I get . If I evaluate that from to I get . This is not the answer in the text book. Could someone point me in the right direction?