1. The problem statement, all variables and given/known data Verify the following force field is conservative. F = 2xcos2yi - (x2+1)sin2yj 2. Relevant equations ∇xF=0 3. The attempt at a solution I'm pretty sure this is just a mistake in the book, but according to my calculations, this isn't a conservative force. I used the determinant method to do the curl of F to find -2xsin(2y) + 4xsinycosy. Unless those two terms cancel each other to equal 0, then the force isn't conservative and there's a mistake in the book. What do you think? Thanks.