A Short Note on Nonlocal Transformations and First Integrals for Certain Nonlinear Oscillator Equations

This short note presents a simple and effective application of the generalized Sundman transformations and the Jacobi last multiplier approach for two nonlinear oscillator equations. We reobtain the first integrals with this method very easily. In addition, we also compute the Sundman symmetries and Lagrangians