1 a , ax+ 6
-7-+ -
bx oz \ x \
f—
J x2(ax + b)
r dx / 1 1 2 |ax + 6|\
J x2(ax + 6)2 a ^(aa: + 6) alPx & \ x \)
f dx 1 x
J^^ = aaiCtSa
/ --s8”*8^=Łin m (dia N >|a|)
2ax+b
J ax2 + 6a; + c y/4ac — łP 6 \/Aac — b2
/_* - 2
f xdx 1 , 1 , , , 1 b f dx
J aa? + &c + c 2allaX +CI 2aJ ax2 + bx + c
/ + (<Ua4oc-^>0)
J aiP + ki + c 2a ' ' a\/Aoc -1? <jAac-V
[ mi + n . m. , , . , 2an-bm L , 2ax+b ... .
/ —5— -di = — ln ax2 + te + c + artgh (dla 4ac—ft2 < 0)
J ax2 + bx + c 2a 1 1 aJP-Aac sJtf-Aac
(2n-3)2a
-arctg-
(dla 4ac — ft2 > 0)
di
2ax + 6
di
(oi2 + te + c)" {n-l)(4<ic-62)(ai2 + te + c)"_1 (n — l){4ac— ił2) J (ax2 + bx + e)"~
idx
bx + 2c
K 2*)-3)
di
(aa^ + te + c)" (n-lKte-i^aa^+fo + c)11"1 (n-ljfdac-ft2) J {ai2 + fcr+c)n_I
dx
= lln|
x(ax2 + bx +c) 2c | oz2
ar2 1 _ b_ j
: + bx + c 2cJ
dx
ax2 + bx + c
/dx _ x 1 — np+nf dx
(a + ten)'’ (n(p-l)a)(a+ 6xn)P-1 n(p-l)a J (a+bxn)P~i