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Wireless sensor networks(WSNs) is a data-centric network where the querier is mostly concerned about the statistical aggregates (MAX/MIN, SUM, AVERAGE). A few protocols have been proposed for provably secure tree-based in-network data aggregation in WSN. However, these protocols all suffer from high communication overhead or long network delay when sending off-path values to each sensor node to independently verify that its own data was added into the final aggregation result. Since the off-path dissemination phase is the dominating factor, it is crucial to optimize this phase and save energy to increase the lifetime of network. In this paper, we propose a novel integrity preserving protocol Energy Efficient and Integrity-Preserving Aggregation Protocol (E2IPAP) for tree-based sensor network-s, aiming to provide a new approach for result-checking and reduce communication overhead. Analysis shows that, E2IPAP significantly reduces the overhead in disseminating off-path values and overall communication. E2IPAP has O(Δ log n) node congestion and is suitable for similar secure data aggregation protocols.