It is shown that when solving the initial-boundary problem with mobile boundaries for linear wave equation, the Cauchy-Lagrange integral with allowance for two quadratic components should be used in a general case. At low expansion rate for the cylindrical cavity with zero initial radius the velocity squared is the main component is that quadratic with respect to velocity. The expansion rate being increased, the contribution of the second component becomes more valuable. For plane waves at the start of the expansion of the cavity with non-zero initial radius and in the far field one can use the linear integral because the sum of quadratic components is equal to zero.
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