2 3
2
9x2 + 8x - 7 + dx, (3ex + 2x) dx, x3 + 1 dx, - sin x + " dx,
x
4 - 4x2
x x 2 (x - 1)3 cos 2x
2
sin - cos dx, " dx, xdx, dx,
2 2 x
cos2 x - sin2 x
"
"
x + 1 1
3
4
( 3x + 4 x + ex - cos x)dx, (3 - x2) dx, " dx, 2x3 - 4x2 + - sin x dx,
x x
2
"
2 1 3 1 - y 1
+ + dt, dy, u2(5 - u)4du, 1 - x x dx,
y x2
"t t2" t3
3
x - 2 x2 + 1 2x - 5x e-2y - 4
" dx, dx, tg2u du, dy,
4
x 10x e-y+2
"
"
e3x - 1
5
3
dx, 4t dt, 5x dx
ex - 1
"
e3x x3 dx sin ln x
dx, x � x - 3 dx, , dx,
1 + e6x x
(1 - x2)3
1
sin
e-4x dx dt
x
dx, " , (5 - 4x)14dx, " ,
x2
4 + e-4x 1 - 4t2
dt ex dx 5 sin x dx
5
x2 � 5x3 + 4 dx, " , , ,
e2x + 1 3 - 2 cos x
2 + t
sin3xdx, cos5x dx, sin7x � cos5x dx, sin6x � cos5x dx,
dx dx dx dx
, , , " ,
Ą
1 + cos x 1 - cos x
sin2(2x + ) 2 - 5x
4
dx
.
2 + 3x2
x � exdx, x cos x dx, e3x sin x dx, lnx dx,
x4 cos 3x dx, arctgx dx, x2 � arctgx dx, x ln x dx,
2
x dx ln x
, dx, arccosx dx, x � e-3xdx,
cos2x x
3
x sin x cos x dx, ln(x + 1 + x2) dx x � arctgx dx x5ex dx,
arccos2x dx, log3x dx, xln2x dx, ex cos 4x dx,
x2ln x3 dx, sin2 x, cos2 x, x2 - 5 dx
x2 - 5x + 9 x dx (x3 + x + 1) dx dx
dx, , ,
x2 + 5x + 6 x4 + x
(x2 + 2)2 (x2 + 1)3
dx x dx dx dx
, , , ,
x3 + 1
(x2 + 4x + 8)2 x(x + 1)2 (x - 2)2(x + 3)3
dx (5 - 4x) dx x2 dx x(x + 2) dx
, , , ,
x4 + 4 x2 - 4x + 20 x2 + 2x + 5 x2 + 2x + 2
dx 2x4 + 5x2 - 2 dx dx
, dx, .
x(x2 + 4) 2x3 - x - 1 x3 - 4x (x - 1)(x2 + 2)x2
dx dx dx (sin x + 3 cos x) dx
, , , ,
sin x 1 + sin x + cos x
sin2x cos x sin2x cos x + 2cos3x
dx dx
, , sin x � sin 3x dx, cos4x dx,
cos x sin x + cos x
dx dx dx
, , sin5xdx, ,
3 sin x + 4 cos x + 5 sin xcos2x
sin3x
sin3x cos4x dx
sin2x � cos4x dx, dx, dx, ,
cos4x
sin3x sin3x � cos5x
dx dx
" , ctg6x dx, " .
tgx
sin3x � cos5x
"
dx dx 1 - x + 1 dx
" , " " , " dx, " " ,
3 3 4 3
1 x x(1 + 2 x + x) (1 + x) x
1 + x + 1
"
"+ "
x + 1 - x - 1 dx x2 - 1
" " dx, x2 9 - x2 dx, " , dx,
x
x + 1 + x - 1
x2 4 + x2
x dx x3 dx x3 - 6x2 + 11x - 6 dx
" , " , " dx, " ,
1 + x + x2 1 + 2x - x2 x2 + 4x + 3 x + x2 + x + 1
dx
" , x � x2 - 2x + 2 dx, x2 + 5 dx
1 + 1 - 2x - x2
x � 2x + 3x 3 - 2ctg2x
5x � ex dx, dx, dx, tg2x dx,
2x cos2 x
x x 2 e2x
8x(1 - 5x38-x) dx, sin - cos dx, (tgx + ctgx)2 dx, dx,
2 2 ex + 1
e-x 2 dx dx
dx, x � 5-x dx, , ,
1 + e-2x (ex + e-x)2 4x - 1 - 4x2
"
sin x dx sin 2x dx
" , " dx, sin x ,
"
x
1 + 2 cos x
2 + cos2 x
"
x2-1
dx dx dx xe
, sin (ln x) , " , " dx,
e2x + e-2x + 2 x
x 1 - 4 ln x x2 - 1
dx earcsin x + x + 3 x + 5
" , (x2 + x) ln (x + 1) dx, " dx, dx,
cos2 x
3 - x2 1 - x2
arctgx 1 1
ln2 x dx, dx, arcsin dx, sin 2x � 5sin x dx,
x2 x2 x
x + sin x
x2arctgx dx, cos (ln x) dx, earccos x dx, dx,
sin2 x
ln x ln(ln x) x2
dx, sin 4x � 3cos 2x dx, dx, dx,
(x + 1)2 x 5 - x6
x3 - 2x2 + 4 x - 1 x2 + 4x + 4 ex + 1
dx, dx, dx, dx,
x2 + 2x - 3 3x2 + 2x + 1 x(x - 1)2 e2x + ex + 2
cos x dx dx dx
, , sin2 3x dx, ,
5 + 4 cos x
sin2 x(2 + sin2 x) x(ln3 x - 2 ln2 x + ln x)
1 + tgx dx dx
dx, , " " , x3 1 - x2 dx,
4
sin 2x sin x + 3 cos x + 1
( x + 3 - 1) x + 3
dx dx dx (x + 3)
" , " , " " , " dx,
x - 1 - x - 2
x 1 + x2 1 - 4x - x2 1 - 4x2
(x - 3) dx 1 - x
" dx, 1 - 2x - x2 dx, " , dx,
1 + x
x2 + 6x x x2 - 2x - 1
"
1 1 + x 3x + 3 11x - 1 1 - x
dx, " dx, " dx, " dx,
x2 x 1 + x
-x2 + 10x - 24 2x2 - 5x - 2
"
dx
" , x2 x + 2 dx, x2 - 4 dx.
x - x2 - 1