The course of lectures on integral calculus was prepared by an associate professor of the Department of Natural Sciences and Mathematical Disciplines of the Moscow State Academy of Water Transport, Candidate of Technical Sciences V. A. Login. Lectures are intended for IGAVT students studying in specialties 26. 03. 01 "Water transport management and hydrographic support of navigation" and 38. 03. 02 "Management" (the level of higher education - bachelor's degree) and fully corresponds to the curriculum in the discipline "Mathematics" . The information about complex numbers, the main methods of calculating indefinite and certain integrals are presented, the simplest geometric applications of a certain integral are discussed: the calculation of the areas and lengths of arcs of flat figures.