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Tablica neodredenih integrala
1.∫
xαdx = xα+1
α+1+ C, α 6= −1
2.∫
dxx
= ln |x|+ C
3.∫
axdx = ax
ln a+ C,
∫exdx = ex + C
4.∫
sin xdx = − cos x + C
5.∫
cos xdx = sin x + C
6.∫
dxcos2 x
= tgx + C
7.∫
dxsin2 x
= −ctgx + C
8.∫
shxdx = chx + C
9.∫
chxdx = shx + C
10.∫
dxch2x
= thx + C
11.∫
dxsh2x
= −cthx + C
12.∫
dxx2+a2 = 1
aarctgx
a+ C, a > 0
13.∫
dxx2−a2 = 1
2aln |x−a
x+a|+ C, a > 0
14.∫
dx√a2−x2 = arcsin x
a+ C, a > 0
15.∫
dx√x2±a2 = ln |x +
√x2 ± a2|+ C, a > 0
16.∫
dxsin x
= ln |tgx2|+ C
17.∫
dxcos x
= ln |tg(x2
+ π4)|+ C
