The problem of calculating the original jumps on its Laplace transform by means of quadrature formulas is formulated. The behavior of the approximate solution in the case of disconnected originals is analyzed. The approximate value of the desired function-original is obtained by means of quadrature formulas of the highest degree of the accuracy for different numbers of nodes. Then the linear algebraic equation system is written relative to the jumps of the desired original and its derivatives. Its solution describes the original behavior in an arbitrary point.