TABELLA INTEGRALI
0⋅=
∫dx c
dx x c= +
∫ k f x k f x dx⋅=⋅∫∫ ( ) ( )
1
, ( 1)
1
n
nx
x dx cn
n
+
=+≠−
+
∫
[ ] [ ]
f x f x dx nf x c
nn
( ) ( ) ( )
'
∫⋅=++
+
1
1
1
∫+= cxdx
x
dx
2 ∫+= cxfdx
xf
xf )(
)(2
)('
sinxdx x c=−+
∫cos sen ( ) ' ( ) cos ( )f x f x dx f x c⋅=−+
∫
cos senxdx x c= +
∫ cos ( ) '( ) sen ( )f x f x dx f x c⋅= +
∫
∫+= cxtgdx
x
2
cos
1 f x
f x dx tg f x c
' ( )
cos ( ) ( )
2∫= +
∫+−=cxctgdx
x
2
sen
1 f x
f x dx ctg f x c
' ( )
sen ( ) ( )
2=−+
∫
dx
x
arc sin x c
12
−= +
∫
[ ]
f x
f x
dx arcsin f x c
'( )
( )
( )
12
−
= +
∫
dx
x
x c
1
2
+
= +
∫arctg
[ ]
f x
f x
dx f x c
'( )
( )
arctg ( )
12
+
= +
∫
dx
xx c= +
∫ln f x
f x dx f x c
'( )
( ) ln ( )
∫= +
edx e c
x x
= +
∫ e f x dx e c
f x f x( ) ( )
'( )
∫= +
adx a
ac
x
x
∫= +
ln a f x dx a
ac
f x
f x
( )
( )
' ( ) ln
∫= +
( ) ( )
x a dx x a
mc
m
m
+ = +
++
+
∫
1
1 ( ) ( )
( )
abx dx abx
b n c
n
n
+ = +
++
+
∫
1
1
dx
a
x
a
x
ac
2 2
1
+
= +
∫arctg dx
abx b a bx c
( ) ( )+=−++
∫2
1
( ) ( )
( )
abx dx abx
b n c
n
n
+ = +
++
+
∫
1
1
dx
abx b a bx c
( ) ( )+=−++
∫2
1
1
1
1
2
1
1
2
−=+
−+
∫xdx x
xcln 1
1 2+= +
∫cos xtg xc
