Introductory calculus : understanding the integral /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Geveci, Tunc (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2015.
Temas:
Calculus.
Calculus, Integral.
Integrals.
Calcul infinitésimal.
Calcul intégral.
Intégrales.
calculus.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Calculus
Calculus, Integral
Integrals
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Using the integral in the approximation of area
  • The summation notation
  • The area under the graph of a function
  • 2. Understanding the concept of the integral
  • The Riemann integral and signed area
  • The integrals of piecewise continuous functions
  • The precise definition of the integral.
  • 3. Introduction to the fundamental theorem of calculus
  • The fundamental theorem of calculus (part 1)
  • The proof of theorem 1
  • The indefinite integrals of basic functions
  • A short list of antiderivatives
  • The fundamental theorem of calculus and one-dimensional motion.
  • 4. The antiderivative and the fundamental theorem of calculus
  • Some properties of the integral
  • The second part of the fundamental theorem.
  • 5. The indefinite and definite integrals of linear combinations of functions
  • The linearity of indefinite and definite integrals
  • The area of a region between the graphs of functions.
  • 6. Using the substitution rule for integrals
  • The substitution rule for indefinite integrals
  • The substitution rule for definite integrals.
  • 7. The fundamental theorem of calculus and the differential equation y' = f'
  • The differential equation y' = f and the fundamental theorem
  • Acceleration, velocity and position.

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