TABLA DE INTEGRALES INMEDIATAS

TABLA DE INTEGRALES INMEDIATAS
Funciones Simples
Funciones compuestas
Z
Z
Z
Z
Z
Z
Z
Z
Z
Z
Z
xn+1
+C
x dx =
n+1
n
n 6= −1
Z
1
dx = ln(x) + C
x
f 0(x).f (x)n dx =
1
f (x)n+1 + C
n+1
f 0(x)
dx = ln(f (x)) + C
f (x)
Z
f 0(x)ef (x) dx = ef (x) + C
Z
f 0(x)af (x) dx =
sen x dx = − cos x + C
Z
f 0(x) sen(f (x)) dx = − cos(f (x)) + C
cos x dx = sen x + C
Z
f 0(x) cos(f (x)) dx = sen(f (x)) + C
x
x
e dx = e + C
1 x
a dx =
a +C
ln a
x
1
dx =
cos2 x
Z
(a > 0)
2
(1 + tg x) dx = tg x + C
1
−
dx = cotg x + C
sen2 x
√
1
dx = arc sen x + C
1 − x2
1
dx = arc tg x + C
1 + x2
Z
Z
Z
Z
n 6= −1
1 f (x)
+C
a
ln a
f 0(x)
dx =
cos2 (f (x))
−
Z
(a > 0)
f 0 (x) 1 + tg2 (f (x)) dx = tg(f (x)) + C
f 0 (x)
dx = cotg(f (x)) + C
sen2 (f (x))
p
f 0 (x)
1 − (f (x))2
dx = arc sen(f (x)) + C
f 0 (x)
dx = arc tg(f (x)) + C
1 + (f (x))2