S | R^{a} | Q=X | V | F | I |
---|---|---|---|---|---|

V_{1} | |||||

V_{5} | |||||

V_{6} | I_{1} | ||||

V_{4} | |||||

V_{2} | I_{2} | ||||

V_{8} | |||||

V_{3} | |||||

V_{7} |

^{a}One may note that when the pair (*S*,*R*) gives the null form and integrating factor for the first integral*I*, then the pair is also the null form and integrating factor for the first integral*f*(*I*) as shown in Chandrasekar*et al.*[5,26]. This fact is used to find the required*R*in this table.