Ą
2 27
"
" 4
x2" x
-
3
"
(x5 + 4x3 - 6x2 + 2 x - ) dx =, dx =, tg2 x dx =,
6
x x
1 8 0
"
Ą
ln 2 1
2
2
1
(- cos t + + x) dt =, xe-x dx =, xe2x dx =,
sin2 t
Ą
0 0
3
Ą 1
0
"
4 2
3
tg x+3
e3x 5x
"
dx =, dx =, dx =,
cos2 x 1+e6x
1-x2
1
0 ln 3 0
3
1 1
0
2 4
5x x3 x3
" " "
dx =, dx =, dx =,
1-x4 ( 1-x2)3 1-x8
1
0 0 -
2Ą
1
2
1 e
4
cos(ln x)
e-4x x2
"
dx =, dx =, dx =,
(x+1)100 x
4+e-4x
0 0 0
e e e
ln x ln x dx
"
dx =, dx =, =,
x x ln x
"
x 4 ln2 x+9
1 1 e
e e e
x ln x dx =, x3 ln x dx =, ln x dx =,
1 1 1
e e e
"
3
ln2 x
dx =, x2 ln x dx =, x ln(x2 + 1) dx =,
x
1 1 1
Ą arc cos(e-1) Ą
sin3 x cos x dx =, tg x dx =, x2 sin(3x) dx =,
Ą
0 0
2
1 1 1
3 2
x2e3x dx =, x2ex dx =, x3ex dx =,
0 0 0
1 1 1
arc tg(x) dx =, arc tg(3x) dx =, arc sin(x) dx =,
2
0 0 0
Ą
Ą 1
x
3
x
e- 2
sin x dx =, e2x cos(4x) dx =, dx =,
cos2 x
Ą
0 0
4
1
1 1
6 "
xearc tg x
"
arc sin(3x) dx =, dx =, arc tg( x) dx =,
(1+x2)3
0 0 0
1 1 1
"
"
2
x ln(x+ 1+x2)
x
"
dx =, e dx =, x5e-x dx =,
1+x2
0 0 0
e
sin(ln x) dx = .
1
1 3x
e3x sin(2x) e4x-7 cos(x) 47-2x e-x ctg(x) ctg(3x)
3x+4 2 3x2+4
sin(2x)
1 24x 1 x+1 1
" "
sin2(4x-8)
5-6x2 x2+2x+2 x2+2x+2 2x-x2 1+cos(2x)