The theory of indefinite integrals is given: basic integration rules, integration by parts, partial fractions, integration of trigonometric functions, integration of inverse functions, integration of implicit functions. Evaluations of areas between curves. The Disk,Washer, and Shell methods for evaluation volumes. Elasticity of Demand.

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Antiderivatives and Indefinite Integrals: Newton’s Theory

  • Sergey Khrushchev

摘要

The theory of indefinite integrals is given: basic integration rules, integration by parts, partial fractions, integration of trigonometric functions, integration of inverse functions, integration of implicit functions. Evaluations of areas between curves. The Disk,Washer, and Shell methods for evaluation volumes. Elasticity of Demand.