mate2 bio ypee
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INTEGRALES
MATEMÁTICA A-II
UNIVERSIDAD NACIONAL MAYOR DE SAN MARCOSFACULTAD DE CIENCIAS BIOLÓGICAS
E.A.P Microbiología y Parasitología
JIMMY PORRAS
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1.1. La integral indefinida
Jimmy Porras., 2015
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1.1.1 Antiderivadas e integral indefinida
Jimmy Porras., 2015
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Jimmy Porras 2015
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Las primitivas se diferencian en una constante
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1.1.2 La antidervida o primitiva
Jimmy Porras , 2015
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¿ Toda función admite antiderivada?
Jimmy Porras, 2015
No, consideremos la siguiente función
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1.1.3 Proposición:
Jimmy Porras, 2015
f
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Regla de antiderivada para potencia
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1.1.4 Definición( Integral indefinida)
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1.1.5. Observaciones:
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1.1.6. Propiedades de la integral indefinida
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Ejemplos: Calcule las siguientes integrales
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1.6.7. FÓRMULAS DE INTEGRALES
INMEDIATAS
Sea “c” una constante real.
1. dx x c
2. n 1
n xx dx ,n 1
n 1
3. 1
dx Ln x cx
4. x xe dx e c
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5. x x1a dx a c , a 0,a 1
Lna
6. senxdx cosx c
7. cosxdx senx c
8. tanxdx Ln secx c
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1.6.8. Integración por sustitución o cambio de variable
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FIN
• Gracias