Question: \(F\left( x,y \right)\) is define as

\[F\left( x,y \right)=\int\limits_{\left( 2,\pi \right)}^{\left( x,y \right)}{\left[ -2u{{v}^{2}}\sin \left( {{u}^{2}}v \right) \right]du+\left[ \cos \left( {{u}^{2}}v \right)-{{u}^{2}}v\sin \left( {{u}^{2}}v \right) \right]dv}\]

Express \(F\left( x,y \right)\) as a function of x and y.