Intermediate calculus : methods of integration / / Tunc Geveci

• Record Nr.: UNINA9910809748903321
• Autore: Geveci Tunc
• Pubbl/distr/stampa: New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
• ISBN: 1-60650-865-2
• Descrizione fisica: 1 online resource (iv, 224 pages) : illustrations
• Disciplina: 515
• Soggetti: Calculus; Fractional calculus; Libros electronicos.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Co-published with Cognella Academic Publishing.; Includes index.
• Nota di contenuto: 1. Understanding the integration of parts -- Integration by parts for indefinite integrals -- Integration by parts for definite integrals -- Integration by parts for definite integrals --; 2. Indefinite integrals and rational functions -- Special cases -- Arbitrary rational functions --; 3. Using integrals for trigonometric and hyperbolic functions -- Products of sin(x) and cos(x) or sinh(x) and cosh(x) -- Special integrals that involve sin (mx) and cos (nx) -- Rational functions of sin(x) and cos(x) or sinh(x) and cosh(x) --; 4. Integrations using trigonometric and hyberbolic substitutions -- The substitution x = a sin (u) -- The substitution x = a sinh (u) -- The substitution x = a cosh (u) --; 5. Approximations in numerical integration -- Riemann sums -- The trapezoid rule -- Simpson's rule -- The derivation of Simpson's rule --; 6. Improper integrals: unbounded intervals and discontinuities -- Improper integrals on unbounded intervals -- Improper integrals that involve discontinuous functions --; 7. Improper integrals: using convergence tests -- Improper integrals on unbounded intervals -- Improper integrals that involve discontinuous functions --; Index.