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integration

Indefinite integral notation

taught

Taught in

Requires

Required by

Local knowledge map

Local knowledge map

Chemical reaction rates as differential equations Choosing a first-order solving method Choosing an integration technique Definite integrals evaluating to arcsin/arctan forms Exponential growth/decay as a differential equation First-order linear equations and integrating factors Homogeneous first-order equations Integrals of sin^m x cos^n x Integrating via partial fractions: distinct linear… Mixing problems Rationalizing and Weierstrass half-angle substitutions Tabular integration (D/I table) The logistic differential equation Transforming the bounds under u-substitution Trigonometric substitution Using integral tables and computer algebra systems Integration by parts Recognizing an integral that yields an inverse trig… Separable differential equations u-substitution Indefinite integral notation Basic antiderivative rules -- power, constant multiple,… Derivatives of inverse trigonometric functions Fundamental Theorem of Calculus, Part 2 (evaluation) Product rule for derivatives Recognizing a chain-rule derivative in reverse The arbitrary constant of integration (+C) What a differential equation is (order, solutions, general vs… Antiderivatives -- the reverse of differentiation The derivative as a function

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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.