Copied Derive the first term in the asymptotic representation, valid for \(x\to+\infty\), of the function \[ F(x)=\int_0^1 \cos\left(t^2\sqrt{x^3+x}\right)\,dt. \] Raw LaTeX Derive the first term in the asymptotic representation, valid for \(x\to+\infty\), of the function \[ F(x)=\int_0^1 \cos\left(t^2\sqrt{x^3+x}\right)\,dt. \] \end{enumerate} Topic Tags Adjoint Operators and Riesz Representation Linear Programming and Optimization