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A time-domain integral representation is obtained for a nonstationary electromagnetic field in a homogeneous isotropic medium having conductivity. The field intensity at any instant at an arbitrary point in a certain volume is expressed through an integral over the surface bounding this volume and an integral over the volume. The integrand functions contain the values of the field intensities and external currents and the time derivatives of these quantities at instants preceding the observation moment. The obtained time-domain integral representations for nonstationary electric and magnetic fields can be used for deriving integral equations that make it possible to extend the method of time-domain integral equations to problems of electrodynamic analysis of structures with conducting media.