 Tabla de Integracion { integral indefinida } Propiedades fundamentales

Tabla de Integracion { integral indefinida }
x
n
x
dx 
dx
xa
n 1
a
x
x
2
 sen( x )  c
(x)
2
  cot tg( x )  c
(x)
dx
1 x
2
dx
1 x
1 x
n 1
a
2
u
 u '·cos( u ) dx
 sen( u )  c
 cos
u'
 sen
u'
2
dx  tg( u )  c
(u )
2
dx   cot tg( u )  c
(u )
2
dx  arctg( u )  c
u'
1 u
dx  arcsen( u )  c
2
 u'
1 u
dx  arccos( u )  c
2
Propiedades fundamentales
  f ( x )  g ( x )  h ( x ) dx
 k · f ( x ) dx
 k · f ( x ) dx


f ( x ) dx 
(k  R )
c
Ln ( a )
  cos( u )  c

 arccos( x )  c
u
 u '·sen( u ) dx

2
c
dx  e  c
u'
 arcsen( x )  c
 dx
u
1 u
 arctg( x )  c
n 1
dx  Ln ( u )  c
 u '·e
 tg( x )  c
dx
 sen
u
u
x ) dx   cos( x )  c
dx
dx 
 u '·a dx 
c
z
 cos
n
x
Ln ( a )
 cos( x ) dx

u'
u
dx  e  c
 sen(

 u '·u
k
 Ln ( x  a )  c
 a dx 
e
n 1
 g ( x ) dx   h ( x ) dx