Abstract
This paper concerns high precision numerical computing of definite integrals in a specific environment, namely .NET Framework. The work is a part of a series, tracing the progress of creating tools for high precision computations in this environment and may be considered as a continuation, in this direction, of the beginning, described in [15], that includes special function calculations with arbitrary precision. Some of the methods used are described. The results are clearly illustrated with the help of an application, purposefully created, using the current state-of-the-art library being created for realization of functions and numerical methods of arbitrary precision in a given environment.