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## Homework Statement

Verify the following force field is conservative.

F = 2xcos

^{2}y

**i**- (x

^{2}+1)sin2y

**j**

## Homework Equations

∇xF=0

## 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.