"6th. When the expression sought contains a definite integral, the unknown functions... under the... integration are determined, either by the theorems... we have given... or by a more complex process... in the Second Part. These theorems can be extended to any number of variables. They belong in some respects to an inverse method of definite integration; since they serve to determine under the symbols \textstyle \int and \textstyle \sum unknown functions... such that the result of integration is a given function. The same principles are applicable to... problems of geometry... general physics, or... analysis, whether the equations contain finite or infinitely small differences, or... both. The solutions... obtained by this method are complete, and consist of general integrals. ...[O]bjections... are devoid of... foundation..."