Calculus Series  Concepts and Formulas™
Integration Fundamentals and Basic Formulas (CLSCF4)
This sheet provides a comprehensive review of all of the most important topics, concepts and formulas covering integration fundamentals and basic integration formulas. Each concept is explained in detail, with detailed illustrations. Unlike charts and notes, this Concepts and Formulas™ sheet answers questions about how to use the concepts  how to actually solve problems with them, it doesn't just list facts and formulas. There is even an example, or two, for each concept, to help you to nail down the central ideas.
Topics Covered:
 Constructing the definite integral
 Partitions of closed intervals
 Riemann sums
 The definite integral of a function over an interval
 The area of the region between the graph of a function and the xaxis on a closed interval
 The parts of a definite integral
 The integrand and its properties
 The limits of integration
 Integrable functions
 Fundamental properties of Sigma notation and some special sums
 Fundamental properties of definite integrals
 Definite integral comparison properties
 Antiderivatives
 The Fundamental Theorem of Calculus
 Integration as the inverse of differentiation
 Evaluating integrals: basic power rule
 The general power rule
 Integration by substitution
 Change of variables
 The area between two curves
 Basic integration formulas
 Basic trigonometric and hyperbolic integrals
 Some special integrals
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