In recent years, one of the main topics of interest in the security of outsource Computations is checking the integrity of the results received from the outsourced Computations. Outsourced Computations can be run on data received from single or multiple data sources. There are a few methods proposed for system models with distributed data sources. The main solutions provided in this area to verify the correctness of the execution of any or some special functions such as linear, polynomial or aggregate functions are categorised to: (1) verifiable Computations, (2) homomorphic authenticators, and (3) methods proposed for specific applications such as outsourced databases, wireless sensor networks and data stream management systems. In this paper, these methods, especially the methods proposed for outsourced Computations in data stream management systems, have been reviewed and compared.