Synopsis "250 Solved Exercises of Indefinite Integrals: Includes theoretical basis"
The INFINITY EDITORIAL proudly presents to students and professors the third volume of the CORONEL SERIES: 250 SOLVED EXERCISES OF INDEFINITE INTEGRALS [1st. edition], whose purpose is to offer, to those who initiates university studies, a series of exercises on INDEFINITE INTEGRALS, very representatives and resolved in detail. We hope that the content of this book could be very useful especially for students of careers related to engineering, science, technology or any specialty where mathematical calculus is an essential requirement within the study curriculum.The number of exercises included in this volume allows it to be used as a textbook by both the student and the teacher in the process of addressing and developing this important subject of calculation.The authors have been very careful in the detailed explanation of the procedures used to the resolution of each one of the problems. All the exercises have been selected in order to expand the knowledge received in class, as well as for the student to acquire practice in solving problems and thus prevent the difficulties that the beginners usually could to face.Integration is a fundamental concept of calculation and mathematical analysis. Basically, an integral is a generalization of the sum of infinite addends, infinitely small.The integral calculus, focused on the infinitesimal calculus, is a branch of mathematics in the process of integration or antiderivation. It is very common in engineering and in science too, it is mainly used for the calculation of areas and volumes of regions and solids of revolution.It was used for the first time by mathematicians such as Isaac Newton, Gottfried Leibniz and Isaac Barrow. The works of the latter and the contributions of Newton generated the fundamental theorem of integral calculus, which proposes that derivation and integration are inverse processes.SOME APPLICATIONS OF INTEGRAL CALCULUS. In civil engineering, integrals are used to calculate structures and areas.. In the administration, when working with the costs of a company. By having the marginal cost of a product, you can obtain the formula of the total cost through integrals.. In electronics, integrals are used to calculate currents, capacitances, load times and current discharges, etc.. In hydraulics, to calculate areas and volumes of liquids and also its strength and pressure.. The integral calculus is used in medicine to find the optimal branch angle in blood vessels to maximize flow.. In another aspect of medicine, integrals are used to estimate the reduction of tumors in radiotherapy.
