Goen's Double Integral is a double integral in the region of certain upper and lower bound values ​​of a symmetric function. The purpose of this study is to compare the Goen's Double Integral method with the conventional Integral method for certain multiple symmetric functions. The advantage of using Goen's Double Integral is that the solution process is enough to do a certain integral once. So that the solving solution with the Goen's Double Integral method will cause the completion process to be shorter and easier when compared to the conventional method which works on symmetric functions.