integrarea generală a funcțiilor
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7/25/2019 Integrarea General a Funciilor
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Reguli pentru integrarea general a funciilor
Integrale ale funciilor simple
Funcii raionale
mai multe integrale:Primitivele funciilor raionale
Funcii iraionale
mai multe integrale:Primitivele funciilor iraionale
Funcii logaritmice
mai multe integrale:Primitivele funciilor logaritmice
Funcii exponeniale
mai multe integrale:Primitivele funciilor exponeniale
http://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_ra%C8%9Bional%C4%83&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_ra%C8%9Bional%C4%83&action=edit&redlink=1http://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_ra%C8%9Bionalehttp://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_ra%C8%9Bionalehttp://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_ra%C8%9Bionalehttp://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_ira%C8%9Bional%C4%83&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_ira%C8%9Bional%C4%83&action=edit&redlink=1http://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_ira%C8%9Bionalehttp://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_ira%C8%9Bionalehttp://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_ira%C8%9Bionalehttp://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_logaritmic%C4%83&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_logaritmic%C4%83&action=edit&redlink=1http://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_logaritmicehttp://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_logaritmicehttp://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_logaritmicehttp://ro.wikipedia.org/wiki/Func%C8%9Bie_exponen%C8%9Bial%C4%83http://ro.wikipedia.org/wiki/Func%C8%9Bie_exponen%C8%9Bial%C4%83http://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_exponen%C8%9Bialehttp://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_exponen%C8%9Bialehttp://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_exponen%C8%9Bialehttp://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_exponen%C8%9Bialehttp://ro.wikipedia.org/wiki/Func%C8%9Bie_exponen%C8%9Bial%C4%83http://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_logaritmicehttp://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_logaritmic%C4%83&action=edit&redlink=1http://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_ira%C8%9Bionalehttp://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_ira%C8%9Bional%C4%83&action=edit&redlink=1http://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_ra%C8%9Bionalehttp://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_ra%C8%9Bional%C4%83&action=edit&redlink=1 -
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Funcii trigonometrice
mai multe integrale:Primitivele funciilor trigonometriceiPrimitivele funciilor invers
trigonometrice
http://ro.wikipedia.org/wiki/Func%C8%9Bie_trigonometric%C4%83http://ro.wikipedia.org/wiki/Func%C8%9Bie_trigonometric%C4%83http://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_trigonometricehttp://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_trigonometricehttp://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_trigonometricehttp://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_invers_trigonometrice&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_invers_trigonometrice&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_invers_trigonometrice&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_invers_trigonometrice&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_invers_trigonometrice&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_invers_trigonometrice&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_invers_trigonometrice&action=edit&redlink=1http://ro.wikipedia.org/wiki/Primitivele_func%C8%9Biilor_trigonometricehttp://ro.wikipedia.org/wiki/Func%C8%9Bie_trigonometric%C4%83 -
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Funcii hiperbolice
mai multe integrale:Primitivele funciilor hiperboliceiPrimitivele funciilor hiperbolice
reciproce
Integrale definite care nu au primitive imediate
Exist cteva funcii ale cror primitive (sau anti-derivate) nu potfi exprimate ntr-o form fix,
imediat vizibil. Oricum, valoarea integralelor definite pe anumite intervale poate fi calculat.
Unele dintre cel mai utile se gsesc mai jos.
(a se vedea iFuncia gamma)
(Integrala lui Gauss-Gaussian integral)
(a se vedea iNumrul lui Bernoulli-Bernoulli number)
(n care (z) esteFuncia gamma)
(n careI0(x) estefuncia Besselmodificat de ordinul nti)
http://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_hiperbolic%C4%83&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_hiperbolic%C4%83&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_hiperbolice&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_hiperbolice&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_hiperbolice&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_hiperbolice_reciproce&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_hiperbolice_reciproce&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_hiperbolice_reciproce&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_hiperbolice_reciproce&action=edit&redlink=1http://ro.wikipedia.org/wiki/Func%C8%9Bia_gammahttp://ro.wikipedia.org/wiki/Func%C8%9Bia_gammahttp://ro.wikipedia.org/wiki/Func%C8%9Bia_gammahttp://ro.wikipedia.org/w/index.php?title=Integrala_lui_Gauss&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Integrala_lui_Gauss&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Integrala_lui_Gauss&action=edit&redlink=1http://en.wikipedia.org/wiki/Gaussian_integralhttp://en.wikipedia.org/wiki/Gaussian_integralhttp://en.wikipedia.org/wiki/Gaussian_integralhttp://ro.wikipedia.org/w/index.php?title=Num%C4%83rul_lui_Bernoulli&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Num%C4%83rul_lui_Bernoulli&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Num%C4%83rul_lui_Bernoulli&action=edit&redlink=1http://en.wikipedia.org/wiki/Bernoulli_numberhttp://en.wikipedia.org/wiki/Bernoulli_numberhttp://en.wikipedia.org/wiki/Bernoulli_numberhttp://ro.wikipedia.org/wiki/Func%C8%9Bia_gammahttp://ro.wikipedia.org/wiki/Func%C8%9Bia_gammahttp://ro.wikipedia.org/wiki/Func%C8%9Bia_gammahttp://ro.wikipedia.org/wiki/Func%C8%9Bie_Besselhttp://ro.wikipedia.org/wiki/Func%C8%9Bie_Besselhttp://ro.wikipedia.org/wiki/Func%C8%9Bie_Besselhttp://ro.wikipedia.org/wiki/Func%C8%9Bie_Besselhttp://ro.wikipedia.org/wiki/Func%C8%9Bie_Besselhttp://ro.wikipedia.org/wiki/Func%C8%9Bia_gammahttp://en.wikipedia.org/wiki/Bernoulli_numberhttp://ro.wikipedia.org/w/index.php?title=Num%C4%83rul_lui_Bernoulli&action=edit&redlink=1http://en.wikipedia.org/wiki/Gaussian_integralhttp://ro.wikipedia.org/w/index.php?title=Integrala_lui_Gauss&action=edit&redlink=1http://ro.wikipedia.org/wiki/Func%C8%9Bia_gammahttp://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_hiperbolice_reciproce&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_hiperbolice_reciproce&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_hiperbolice_reciproce&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Primitivele_func%C8%9Biilor_hiperbolice&action=edit&redlink=1http://ro.wikipedia.org/w/index.php?title=Func%C8%9Bie_hiperbolic%C4%83&action=edit&redlink=1