Liouville integrability

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I am trying to understand how to use Liouville integrability to solve a question, but I could not understand how to calculate the functions $H_1,\ldots,H_n$ which are functionally independent (their wedge product is not equal to zero) and $\{H_j,H_k\}=0$ for all $j,k$ (the bracket is Poisson bracket) and each one is equal to the Hamiltonian