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The interference-modelling capacity analysis method developed by Gilhousen et al. (1991) is modified to make it appropriate for investigating the capacity of a variable spreading gain (VSG) DS-CDMA system with multiservice in the presence of fading (both shadow fading and multipath fading) and power-control error. With this analytical model, the uplink capacity estimate of an integrated voice and long constraint delay data (LCD) services system is obtained. The capacity estimate is the maximum number of concurrent voice users and LCD users that the system can support while their required QoS are met. Further studies are made of the effects of power allocation, power-control error and receiver diversity on system capacity.