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In this paper, we present an exact analysis method for an integrated voice and data wireless LAN with non-persistent carrier sense multiple access with collision avoidance (CSMA/CA) protocol to exactly derive the moment generating function (m.g.f.) of the data packet delay. The system model consists of a finite number of users to share a common channel. Each user can be a source of both voice traffic and data traffic. The system can support the real-time traffic well by the chosen pulse transmission probability. Numerical examples include comparisons between the single and multiple traffic system models in terms as the channel utilization and packet delay. Using the first and second moments of the packet delay we can determine the parameters in the diffusion approximation to the input process of interconnected systems and multi-hop networks with integrated voice and data traffic.