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In this paper we analyze the capacity of a CDMA system supporting integrated voice and data services. The bit energy-to-interference ratios for voice and data services are each modeled using lognormal distributions, and an integrated capacity formula based on a lognormal approximation is proposed. The capacity formula defines an admission scheme to guarantee with a predefined probability the total interference is less than the maximum acceptable interference. Under the assumption of Poisson arrivals for voice and data services, Kaufman's method is applied to calculate the blocking probabilities for voice and data services. Numerical results are provided to illustrate the proposed procedure.