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In this paper we develop an integral equation satisfied by Feynman'soperational calculi in formalism of B. Jefferies and G. W. Johnson. Inparticular a "reduced" disentangling is derived and an evolution equation ofDeFacio, Johnson, and Lapidus is used to obtain the integral equation. Afterthe integral equation is presented, we show that solutions to the heat andSchrodinger's equation can be obtained from the reduced disentangling and itsintegral equation. We also make connections between the Jefferies and Johnsondevelopment of the operational calculi and the analytic Feynman integral.

An Integral Equation for Feynman's Operational Calcului