Ministry of Education and Science of Ukraine Admiral Makarov National University of Shipbuilding . Nikolaev 2009. This manual contains more than 550 indefinite integrals, the most common in practice. The goal is to facilitate learning as much as possible, to make it an incentive for independent research, which is especially important when switching to a credit-modular learning system .. The manual will be useful to all students and young teachers . P. S. Most examples are taken from Berman .. The book presents: Basic methods of integration, Integration by parts Variable replacement, Different tasks, Basic classes of integrable functions, Fractional-rational functions, Some irrational functions, Trigonometric functions, Hyperbolic functions, Rational functions.