Guia De Practica (Integrales)
FACULTAD DE CIENCIAS NATURALES Y MATEMÁTICA
CALCULO DIFERENCIAL E INTEGRAL
G U I A D E P R A C T IC A S
LA INTEGRAL INDEFINIDA DE LA FUNCION
La Antiderivada
01. Halle la antiderivada de las siguientes funciones :
a) f( x ) = [pic] ( b ) g( x ) = 4Senx + [pic]Cos 2x – 5
( c ) h( x ) = [pic]
02 Calcular :
a ) [pic]) ( b ) [pic]
c ) [pic]( d ) [pic]
Integración Inmediata
03 Justificar los siguientes resultados ;
a) [pic]
c) [pic]
e ) [pic] .
04.Calcular :
a ) [pic] ( b ) [pic]
( c ) [pic]
05. Halle las siguientes integralesindefinidas :
a ) [pic] ( b ) [pic] ( c ) [pic]
d) [pic] ( e ) [pic] ( f ) [pic]
g ) [pic] ( h ) [pic] ( i )[pic]
( j ) [pic] .
Métodos de Integración
06. Efectuando un conveniente cambio de variable. Calcular las siguientesintegrales :
a ) [pic] ( b ) [pic] ( c ) [pic] ( d ) [pic]
e ) [pic] ( f ) [pic] ( g ) [pic] ( h ) [pic]
i ) [pic] ( j ) [pic] ( k ) [pic] ( l ) [pic]m ) [pic] ( n ) [pic] ( o ) [pic]
p ) [pic] ( q ) [pic] ( r ) [pic]
07 Integrar Por Partes :
a ) [pic] ( b ) [pic] ( c ) [pic] ( d )[pic]
e ) [pic] ( f ) [pic] ( g ) [pic]
h ) [pic] ( i ) [pic] ( j ) [pic]
k ) [pic] ( l ) [pic] ( m) [pic]
n ) [pic]...
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