TABLA DE INTEGRALES INMEDIATAS
TIPOS
FORMAS
Simple
Compuesta
Potencial
1
-
¹
n ò+
=
+
1
1
n
x
dxx
n
n+ k
()()
(
)
ò+
=
+
1
'
1
n
xf
dxxfxf
n
n+ k
Logarítmico 1
1
ln
dxxdxx
x
-
==
òò + k
(
)
() ()
xfdx
xf
xf ln
'=
ò+ k
Exponencial ò
ò
+=
+=
k
a
a
dxa
kedxe
x
x
xx
ln
(
)
(
)
(
)
()
()
()
k
a
a
dxxfa
kedxxfe
xf
xf
xfxf
+=
+=
ò
ò
ln
'
'
Seno
ò
=xxdx sen cos + k
(
)
(
)
(
)
ò
=× xfdxxfxf sen 'cos + k
Coseno
ò
-= xxdx cossen + k
(
)
(
)
(
)
ò
-=× xfdxxfxf cos'sen + k
Tangente
( )
kxdx
x
kxdxx
kxxdx
+=
+=+
+=
ò
ò
ò
tg
cos
1
tgtg1
tgsec
2
2
2
(
)
(
)
(
)
()
() ()
kxfdx
xf
xf
kxfdxxfxf
+=
+=×
ò
ò
tg
cos
'
tg'sec
2
2
Cotangente
( )
kxdx
x
kxdxx
kxxdx
+-=
+-=+
+-=
ò
ò
ò
cotg
sen
1
cotgcosec1
cotgcosec
2
2
2
(
)
(
)
(
)
()
( )
() ()
()
() ()
kxfdx
xf
xf
kxfdxxfxf
kxfdxxfxf
+-=
+-=+
+-=×
ò
ò
ò
cotg
sen
'
cotg'cosec1
cotg'cosec
2
2
2
Arco seno kxdx
x
+=
-
òarcsen
1
1
2
(
)
() ()
ò=
-
xfdx
xf
xf arcsen
1
'
2+ k
Arco tangente
k
a
x
a
dx
x
a
kxdx
x
+=
+
+=
+
ò
ò
arctg
11
arctg
1
1
22
2
(
)
() ()
()
()
()
k
a
xf
a
dx
xfa
xf
kxfdx
xf
xf
+=
+
+=
+
ò
ò
arctg
1'
arctg
1
'
2
2
2
Neperiano –
Arco tangente
ò+=
+
+
+
tangentearconeperiano
2dx
c
bx
ax
NMx + k
cbxaxM ++¹ 2
,0 irreducible
