Mathematics for Foreign Students: Integrals : Study Guide (190,00 руб.)

Стр.2

Стр.3

UDC 51(075) Published by the decision of the Editorial Review Board of the Kazan National Research Technological University Reviewers: PhD in Physics and Mathematics, Associate Professor A. Antonova PhD in Physics and Mathematics, Full Professor I. Kayumov D. Bikmukhametova Mathematics for Foreign Students: Integrals : Study Guide / D. Bikmukhametova, N. Gazizova, S. Enikeeva [et al.]; The Ministry of Education and Science of the Russian Federation, Kazan National Research Technological University. – Kazan: KNRTU Press, 2022. – 100 p. ISBN 978-5-7882-3290-4 The Study Guide contains and encompasses theoretical information on the applied problems of how to introduce a calculus or differential calculus. It is intended for students studying higher Mathematics and Calculus. This Study Guide is prepared at the Department of Advanced Mathematics. UDK UDC 51(075) ISBN 978-5-7882-3290-4 © D. Bikmukhametova, N. Gazizova, S. Enikeeva, A. Mindubaeva, N. Nikonova, S. Alkhaleefah, 2022 © Kazan National Research Technological University, 2022 2

Стр.2

CONT E NT S INTRODUCTION ............................................................................................ 4 INDEFINITE INTEGRALS ................................................................................. 5 INTEGRATION OF TRIGONOMETRICAL FUNCTIONS ................................... 27 THE UNIVERSAL TRIGONOMETRIC SUBSTITUTION ..................................... 32 DEFINITE INTEGRAL, METHODS OF ITS CALCULATION ............................... 46 INTEGRATION OF RATIONAL FRACTIONS ................................................... 53 APPLICATIONS OF DEFINITE INTEGRALS ..................................................... 61 REFERENCES ................................................................................................ 97 3

Стр.3