Thanks for the help.... but
when I then integrate WRT y I get
2∫1 [5x2y+(2/3) y3] which I have to substitute in my limits of y=x and y=2-x
but then this leaves me with a (2/3) (2-x)3 term, which does not simplify well, and does not lead me to the correct answer.
Any ideas where I have gone wrong, thanks!