Abstract: A dual integral equation system was decoupled and its dimensions were reduced by means of integral transformations and Schlömilch theorem in this paper. A formula for the integral kernel was found by "depressing oscillations in a narrow interval". Based on this formula, the high accurate solution of the integral equation was obtained by Gaussian integration method. And the correction function and curves were obtained with high-accuracy. It is emphasized that Gaussian integration will be very powerful in solving integral equation if one can get a suitable formula for calculating its non-elementary integral kernal.

Key words: Gaussintegration, measurement of resistivity, dualintegral equation system