Area between ellipsesWatch this thread
would something along the lines on how lines of symmetry exist of y=x and y=-x , hence in the first quadrant the upper enclosed area = the lower enclosed area .This applies to all 4 quadrants hence you multiply 8 by area of OCB.
I made a comment on how F is E rotated by 90 degrees, I could prove that via rotational matrices but the entire sentence itself doesn't really add value to my answer.
8 * (part ii - triangle)
so its just 8 times the second term from part ii. You shouldnt need to do any further integration here. Once youve noted the intersection point (c), you can just write the answer down.
Also, for parts i and ii), youve done them two seperate ways (both ok), but you could note that part ii) is a simple scaling in both the x and y axes of part i). Again, that would be simpler.