1. The problem statement, all variables and given/known data I have several problems: 1. Calculate [tex]\int\[/tex] F . dr over C F = (y2,-x2) and C is the portion of the ellipse x2 + 4y2 = 4 which lies in the positive quadrant. 2. Calculate [tex]\int[/tex] (3x2 + 3y2)1/2 ds where C is the part of the hyperbola x2 - y2 = 1 from (1,0) to (cosh2, sinh2). 2. Relevant equations 3. The attempt at a solution 1. I have worked this out and got -20/3 but I'm unsure if it can be negative? I'm not very confident with working them out so am unsure about my answer. I can post more working if this is incorrect. 2. I assume I need to use the parameters x=cosht, y=sinht and integrate from 0 to 2. However, I am confused as to what I multiply by after I have subbed in for x=cosht and y=sinht, before I integrate, if that makes sense.