  Noether symmetry analysis permits a powerful approach for the investigation
of integrable models in gravitational theories. In this work, we consider a
framework of the non-minimally coupled scalar field to gravity in the Jordan
frame in view of the Noether gauge symmetry approach. We then study the
point-like Lagrangian for underlying theory based on the use of Noether gauge
symmetries. Subsequently, we compute a Hessian matrix and derive the
Euler-Lagrange equations associated with the the configuration spaces. Using
the Noether gauge symmetry methodology, we obtain a system of partial
differential equations and solve them for particular solutions. We find the
potential is dependent on the non-minimal coupling, $\xi$. With a small field
approximation $\xi \phi^{2}\ll 1$, however we obtain a power-law form of the
potential.
