TABELLA INTEGRALI 0⋅ =
∫
dx c dx= +x c∫
∫
k f x⋅ ( )= ⋅k∫
f x dx( ) 1 , ( 1) 1 n n x x dx c n n + = + ≠ − +∫
[ ]
f x f x dx[ ]
n f x c n n ( ) '( ) ( )∫
⋅ = 1+ + + 1 1∫
dx= x +c x dx 2∫
f x dx= f x +c x f ) ( ) ( 2 ) ( ' sin x dx= − x+c∫
cos∫
sen ( )f x ⋅f' ( )x dx= −cos ( )f x +ccosx dx=senx+c
∫
∫
cos ( )f x ⋅f'( )x dx=sen ( )f x +c∫
dx =tgx+c x 2 cos 1 f x f x dx tg f x c ' ( ) cos2 ( ) ( )∫
= +∫
dx =−ctgx+c x 2 sen 1 f x f x dx ctg f x c ' ( ) sen2 ( ) = − ( )+∫
dx x arc sin x c 1− 2 = +∫
f[ ]
x f x dx arcsin f x c '( ) ( ) ( ) 1− 2 = +∫
dx x x c 1+ 2 = +∫
arctg[ ]
f x f x dx f x c '( ) ( ) arctg ( ) 1+ 2 = +∫
dx x = x +c∫
ln f x f x dx f x c '( ) ( ) ln ( )∫
= + e dxx =ex +c∫
∫
ef x( ) f'( )x dx=ef x( ) +c a dx a a c x x∫
= + ln a f x dx a a c f x f x ( ) ( ) ' ( ) ln∫
= + (x a) dx (x a) m c m m + = ++ + +∫
1 1 ( ) ( ) ( ) a bx dx a bx b n c n n + = + + + +∫
1 1 dx a x a x a c 2 2 1 + = +∫
arctg dx a bx b a bx c ( + ) = − ( + )+∫
2 1 ( ) ( ) ( ) a bx dx a bx b n c n n + = + + + +∫
1 1∫
(a+dxbx)2 = −b a( +bx)+c 1 1 1 1 2 1 1 2 − = + − +∫
x dx x x c ln 1 1+ = 2 +∫
cos x tg x c1 1− = − 2 +
∫
cos xdx ctgx c∫
tg x dx = −ln cosx+c ctg x dx= sin x +c∫
ln dx sin x tg x c∫
=ln + 2 dx x sinx sinx c cos ln∫
= 1 +− + 2 1 1 arcsin x dx= x arcsin x+ −x +c∫
1 2 arccosx dx xarccosx x c∫
= − 1− 2 +∫
arctgxdx =xarctgx−1ln + x +c 2 1 2 arcctgxdx = xarcctgx+ +x +c∫
21ln1 2 dx a+bx = b a+bx +c∫
1ln dx a bx ab b a x c + = ⋅ +∫
2 1 arctg dx a bx dx ab ab bx ab bx c − = + − +∫
2 1 2 ln a x dx x a x a arcsinx a c 2 2 2 2 2 2 2 − = − + +∫
dx a x arcsinx a c 2 − 2 = +∫
a2 x dx2 x a2 x2 a x a x c 2 2 2 2 2 + = + + + + +∫
ln a bx dx b a bx c + = + +∫
32 3 ( ) dx a x x a x c 2 2 2 2 ± = + ± +∫
ln dx a+bx = b a+bx+c∫
2 dx x x x c 2 1 1 2 1 1 − = − + +∫
ln∫
lnxdx= xlnx− +x c lnx ln x dx x x x c 2 1∫
= − − + cos2 1( cos ) 2∫
xdx= x+sinx x +c sin xdx2 1 x sinx x c 2 = − +∫
( cos ) cos (2 ) 1( ( ) cos( )2 x−a dx= x+sin x−a x−a +c
![TABELLA INTEGRALI 0 ⋅ = ∫ dx c dx = +x c ∫ ∫ k f x⋅ ( ) = ⋅k ∫ f x dx( ) 1 , ( 1) 1nnxx dx c nn+=+ ≠ − +∫ [ ]f x f x dx [ ]nf x cnn( )'( )( )∫⋅=1+++11 ∫ dx = x + c xdx2 ∫ f x dx = f x + cxf)()(2)(' sin x dx = − x + c](https://thumb-eu.123doks.com/thumbv2/123dokorg/2832934.4527/1.894.158.801.206.1093/tabella-integrali-nnxx-nf-cnn-xdx-cxf-sin.webp)
