000			a
999			_c31927 _d31927
008			230420b xxu||||| |||| 00| 0 eng d
020			_a9781944660093
082			_a515 _bMAR
100			_aMarkin, Marat V.
245			_aIntegration for calculus, analysis, and differential equations : techniques, examples, and exercises
260			_bWorld Scientific Publishing, _aSingapore : _c2022
300			_axii, 164 p. ; _bill., _c23 cm
365			_b795.00 _cINR _d01
504			_aIncludes bibliographical references and index.
520			_aThe book assists Calculus students to gain a better understanding and command of integration and its applications. It reaches to students in more advanced courses such as Multivariable Calculus, Differential Equations, and Analysis, where the ability to effectively integrate is essential for their success. Keeping the reader constantly focused on the three principal epistemological questions: "What for?", "Why?", and "How?", the book is designated as a supplementary instructional tool and consists of 9 Chapters treating the three kinds of integral: indefinite, definite, and improper. Also covering various aspects of integral calculus from abstract definitions and theorems (with complete proof whenever appropriate) through various integration techniques to applications, 3 Appendices containing a table of basic integrals, reduction formulas, and basic identities of algebra and trigonometry. It also contains: 143 Examples, including 112 thoughtfully selected Problems with complete step-by-step solutions, the same problem occasionally solved in more than one way while encouraging the reader to find the most efficient integration path, and; 6 Exercises, 162 Practice Problems offered at the end of each chapter starting with Chapter 2 as well as 30 Mixed Integration Problems "for dessert", where the reader is expected to independently choose and implement the best possible integration approach. The Answers to all the 192 Problems are provided in the Answer Key. The book will benefit undergraduates, advanced undergraduates, and members of the public with an interest in science and technology, helping them to master techniques of integration at the level expected in a calculus course.
650			_aCalculus
650			_aDifferential equations
650			_aMathematical analysis
650			_aAntiderivative
650			_aConvergent improper integral
650			_aDefinite integration
650			_aIntegral mean value theorem
650			_aNewton-Leibniz formula
650			_aProper fraction
650			_aQuotient Rule
650			_aRational function
650			_aSubstituting back
650			_aTrigonometric function
942			_2ddc _cBK