1. The problem statement, all variables and given/known data [tex]\int\int x^2 dA[/tex] where the area D is boundd by the ellipse 5x^2 + 4xy + y^2 = 1. 2. Relevant equations 3. The attempt at a solution I'm not sure where to start this question. A few ideas I'm exploring are: 1. rewrite in polar co-ordinates (not sure how to write an ellipse in this form!), or 2. do a transformation from this ellipse to a circle (not sure how to do this either). I anyone can suggest which method is more correct and get me started with a general idea of how to approach the problem, i would greatly appreciate it! Thank you.