W lek
lasności ca nieoznaczonych

af(x)dx = a f(x)dx,

[f(x) + g(x)]dx = f(x)dx + g(x)dx.
Podstawowe wzory

0dx = C,

xa+1
xadx = + C, a = -1,

a + 1

1
dx = ln |x| + C,
x

exdx = ex + C,

ax
axdx = + C,
ln a

sin xdx = - cos x + C,

cos xdx = sin x + C,

dx
= tg x + C,
cos2 x

dx
= -ctg x + C,
sin2 x

dx
= arctg x + c = -arcctg x + C,
1 + x2

dx
"
= arcsin x + C = - arccos x + C,
1 - x2

"
dx
"
= ln |x + 1 + x2| + C,
1 + x2

"
dx
"
= ln |x + x2 - 1| + C
x2 - 1

ln xdx = x ln x - x + C.