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TABLA DE INTEGRALES
Potencia de x
.
x
n
dx = x
(n+1)
/ (n+1) + C (n
-1)
1/x dx dx = ln|x| + C
Exponente / Logaritmo
e
x
dx = e
x
+ C
b
x
dx = b
x
/ ln(b) + C
ln(x) dx = x ln(x) - x + C
Trigonométrica
sen x dx = -cos x + C
cos x dx = sen x + C
tan x dx = -ln|cos x| + C
csc x dx = - ln|csc x + cot x| + C
sec x dx = ln|sec x + tan x| + C
cot x dx = ln|sen x| + C
Resuelta Trigonométrica
cos x dx = sen x + C
sen x dx = -cos x + C
sec
2
x dx = tan x + C
csc x cot x dx = -csc x + C
sec x tan x dx = sec x + C
csc
2
x dx = -cot x + C
Trigonométrica Inversa
arcsen x dx =
1
(1-x
2
)
+ C
arccsc x dx =
-1
|x|
(x
2
-1)
+ C
arccos x dx =
-1
(1-x
2
)
+ C
arcsec x dx =
1
|x|
(x
2
-1)
+ C
arctan x dx =
1
1+x
2
+ C
arccot x dx =
-1
1+x
2
+ C
Hyperbólica
senh x dx = cosh x + C
cosh x dx = senh x + C
tanh x dx = ln( cosh x ) + C
csch x dx = ln( tanh(x/2) ) + C
sech x dx = atan( senh x ) + C
coth(x) dx = ln( senh x ) + C
csch x
dx = ln( tanh(x/2) ) + Csech x
dx = atan( senh x ) + Ccoth(x)
dx = ln( senh x ) + C
-1)
(1-x2)
