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It is a common fact that students do not show much interest in solving problems in Integral Calculus when compared to that of Differential Calculus. The voluminous nature of the problems in Integral Calculus forbids the students to gain confidence in this subject.Have a look on the following discussion. A question was asked by a student and was explained by an user in the internet.Question: I have never done integration in my life and I am in the first year of university. Is it (integration) harder than taking the derivative? I've heard it just going backwards. Is it generally considered harder than differentiation? Explanation given: If you are fine with derivatives, you will be fine with integrals in I year calculus. It never hurts to pay attention in class and to do your homework1. ............ In fact, if you have trouble with a problem, you should do more of the same kind as soon as you know the answer2. ........ The kind of problems you get in first year calculus will be solvable if you learn enough tricks3. ......... Integrals start out harder than derivatives and wind up easier4...........Superscript 1 means 'Be familiar with the formulae and methods of solving problems in Differential Calculus and Trigonometry'. The formulae practice workbooks in Differential Calculus and Trigonometry (PROF MSDOSS MATH BOOK SERIES I and II ) help the students to achieve this.Superscript 2 emphasize on 'Practice! Practice!'Students gain confidence only through practice only. This can be achieved by following the methods explained in the formulae practice workbooks in Differential Calculus, Trigonometry and Integral Calculus (PROF MSDOSS MATH BOOK SERIES I, II and III ) Superscript 3: 'Trick' means 'Ability to understand and classify the problems!'The above trick is rightly followed in the above mentioned formulae practice workbooks.Superscript 4 indicates the outcome!Experience shows that the above mentioned workbooks help the students to achieve this result.Significant features :# Each unit is provided with a revision of the formulae applied and methods followed.# Self- evaluation test is provided at the end of each unit.# Already tested in India among the average and below average students with good results.# Definite integrals, evaluation of integrals using partial fraction and the remaining methods of evaluation of integrals will be discussed in volume II.Prof. M. SUBBIAH DOSS
Here in this workbook Vol II the following methods 'Integration by using partial fractions', 'Integration by parts' and 'Definite Integrals', 'Integration as the limit of a sum of certain series' are discussed in detail.
* Aim of this 'formulae practice workbook: To help the students to remember, recollect and apply the various formulae in the appropriate place while solving the problems. * Already tested in India among average and below average higher secondary students (11th & 12th std) with very good results. * Theory is not discussed here in detail. * More number of solved problems and problems for practice with solutions. * A self evaluation test with answers. * Practice! Practice! This practice helps you - to discard your pre-conceived ideas of Trigonometry. You can be friendly (familiar) with the 'truck load of formulae' which is frightening you so far. - to solve the problems given in the text book and assignment sheets easily and independently. - to understand the theory given in your text book without any fear. You can do it! No doubt!! * The thorough knowledge acquired here will be more useful not only in Differential Calculus but also in Integral Calculus, Differential Equations etc. * This workbook is available at Amazon.com Wish you all the best! Prof. M. Subbiah Doss
Aim of this 'formulae practice workbook: To help the students to remember, recollect and apply the various formulae in the appropriate place while solving the problems.- Already tested in India among average and below average higher secondary students (11th & 12th std) with very good results.- Theory is not discussed here in detail.- More number of solved problems and problems for practice with solutions. - A self evaluation test with answers.- Practice! Practice! This practice helps you- to discard your pre-conceived ideas of Trigonometry. You can be friendly (familiar) with the 'truck load of formulae' which is frightening you so far. - to solve the problems given in the text book and - to understand the theory given in your text book without any fear. You can do it! No doubt!!- The thorough knowledge acquired here will be more useful not only in Differential Calculus but also in Integral Calculus, Differential Equations etc.- This workbook is available at Amazon.comWish you all the best!Prof. M. Subbiah Doss
An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including: Mastering and applying the first and second fundamental theorems of calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solve ordinary differential equations With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.
If there is a formula to solve a given problem in mathematics, you will find it in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The Handbook covers important formulas, functions, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Based on Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, Fifth Edition (edited by Jeffrey), but far more accessible and written with particular attention to the needs of students and practicing scientists and engineers, this book is an essential resource. Affordable and authoritative, it is the first place to look for help and a rewarding place to browse. Special thumb-tab index throughout the book for ease of use Answers are keyed to the type of problem they solve Formulas are provided for problems across the entire spectrum of Mathematics All equations are sent from a computer-checked source code Companion to Gradshteyn: Table of Integrals, Series, and Products, Fifth Edition The following features make the Handbook a Better Value than its Competition: Less expensive More comprehensive Equations are computer-validated with Scientific WorkPlace(tm) and Mathematica(r) Superior quality from one of the most respected names in scientific and technical publishing Offers unique thumb-tab indexing throughout the book which makes finding answers quick and easy
This book Text Book of Integral Calculus has been specially written to meet the requirements of B.A./B.Sc., students of all Indian Universities. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The proof of various theorems and examples has been given with minute details. Each chapter of this book contains complete theory and large number of solved examples. Sufficient problems have also been selected from various Indian Universities. Contents: Integration of Trigonometric Functions, Reduction Formulae (Trigonometric Functions).
In general most Calculus text books and other Calculus books deal with the theory and problems, whereas this workbook deals with simple problems that are useful to students to remember the Differential Calculus formulae for ever. As classroom discussions cover mostly the theory and problem solving exercises, an intensive practice is necessary for most of the students to remember, recollect and apply the various formulae in the appropriate place while solving the problems.This is the main aim of this 'formulae practice workbook'.The short cut method followed in this workbook is already tested in India among average and below average higher secondary class students (11th & 12th standard) and obtained very good results.In this workbook, the 'derivative' concept is explained with the help of a real world example: growth of a plant. Differential Calculus theory is not discussed here.More number of solved problems and problems for practice with the solutions are given in this workbook. A Self evaluation test is also included.Practice! Practice! This helps the students to face the Differential Calculus problems without any fear. Practice acquired here will be useful to the students in solving problems not only in Differential Calculus but also in Integral Calculus and Differential equations etc.
Pocket Book of Integrals and Mathematical Formulas, a revision of a very successful pocket book, provides a handy desk-top reference for engineers and scientists seeking essential formulas, concepts, and definitions. Topics range from pre-calculus to vector analysis and from Fourier transforms to statistics. This third edition contains: A
For students who need to polish their calculus skills for class or for a critical exam, this no-nonsense practical guide provides concise summaries, clear model examples, and plenty of practice, practice, practice. About the Book With more than 1,000,000 copies sold, Practice Makes Perfect has established itself as a reliable practical workbook series in the language-learning category. Now, with Practice Makes Perfect: Calculus, students will enjoy the same clear, concise approach and extensive exercises to key fields they've come to expect from the series--but now within mathematics. Practice Makes Perfect: Calculus is not focused on any particular test or exam, but complementary to most calculus curricula. Because of this approach, the book can be used by struggling students needing extra help, readers who need to firm up skills for an exam, or those who are returning to the subject years after they first studied it. Its all-encompassing approach will appeal to both U.S. and international students. Features More than 500 exercises and answers covering all aspects of calculus. Successful series: "Practice Makes Perfect" has sales of 1,000,000 copies in the language category--now applied to mathematics. Large trim allows clear presentation of worked problems, exercises, and explained answers.