dan5

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!