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Evaluation of electromagnetic scattering by anisotropic media may be of interest in many military and civil applications. This paper presents the hybrid volume and surface integral equation(VSIE) based scheme to analyze scattering from conducting and/or inhomogeneous dielectric bodies with anisotropic electromagnetic properties. The Rao-Wilton-Glisson (RWG) basis functions are used to discretize those unknowns of the matrix equations. The method of moments(MOM) technique is augmented with the fast multipole which enable large scale analysis. Finally, several numerical results are presented to demonstrate the stability and accuracy of the proposed method.