Keyword: «termwise integration of a power series»

The article proposes a method of presenting the topic "Application of power series for the approximate calculation of definite integrals". The authors consider a method that makes it possible to calculate the values of definite integrals when the antiderivative integrand is not explicitly expressed in terms of elementary functions. The typical tasks of homework with detailed solutions are given. The article will be useful for students as well as teachers of the relevant courses.