The numerical value of work done (rounded off to the nearest integer) by a position-dependent force \(\vec F = x\hat i + 5xy\hat j\) (where \(\hat i\) and \(\hat j\) are unit vectors) along the path, \(y = \frac{{{x^2}}}{2}\), from (0, 0) to (2, 2) in the xy plane is ________.