2
2
9x2 + 8x - 7 + dx, (3ex + 2x) dx, 3) x3 + 1 dx,
x
3 x x 2 (x - 1)3
- sin x + " dx, sin - cos dx, " dx,
2 2 x
4 - 4x2
cos 2x
2
xdx, dx, tg2u du,
cos2 x - sin2 x
"
x + 1
5
(3 - x2)3dx, " dx, 4t dt,
x
2
2 1 3 1 - y
+ + dt, dy, u2(5 - u)4du,
t t2 t3 y
"
"
3
"
1 x - 2 x2 + 1 2x - 5x
1 - x x dx, " dx, dx,
4
x2 x 10x
"
"
e-2y - 4 e3x - 1
4
( 3x + 4 x + ex - cos x)dx, dy, dx,
e-y+2 ex - 1
"
1
3
2x3 - 4x2 + - sin x dx, 5x dx
x
"
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
dx
sin3xdx, cos5x dx, , sin6x � cos5x dx,
1 + cos x
dx dx dx
sin7x � cos5x dx, , , " ,
Ą
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
"
ln x
ln(x + 1 + x2) dx dx, arccosx dx, x � e-3xdx,
x
x dx 3
x sin x cos x dx, , x � arcctgx dx x5ex dx,
cos2x
arccos2x dx, log3x dx, xln2x dx, ex cos 4x dx,
"
x2 ln x3 dx, sin2 x, cos2 x, x2 - 5 dx
x2 - 5x + 9 x dx dx 2x4 + 5x2 - 2
dx, , dx,
x2 + 5x + 6 x(x2 + 4) 2x3 - x - 1
(x2 + 2)2
dx x dx dx dx
, , , ,
x3 + 1
(x2 + 4x + 8)2 x(x + 1)2 (x - 2)2(x + 3)3
(5 - 4x) dx dx x2 dx x(x + 2) dx
, , , ,
x2 - 4x + 20 x4 + 4 x2 + 2x + 5 x2 + 2x + 2
(x3 + x + 1) dx dx dx dx
, , .
x4 + x x3 - 4x (x - 1)(x2 + 2)x2
(x2 + 1)3
(sin x + 3 cos x) dx dx dx dx
, , , ,
sin2x cos x + 2cos3x 1 + sin x + cos x sin2x cos x sin x
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
dx cos4x sin3x
sin2x � cos4x dx, , dx, dx,
sin3x � cos5x sin3x cos4x
dx dx
" , ctg6x dx, " .
tgx
sin3x � cos5x
"
dx dx 1 - x + 1
" , " " , " dx,
3 3
1 + x x(1 + 2 x" x)
+
1 + x + 1
"
"
dx x + 1 - x - 1
" " , " " dx, x2 9 - x2 dx,
4 3
(1 + x) x
"x + 1 + x - 1
dx x2 - 1 x dx
" , dx, " ,
x
x2 4 + x2 1 + x + x2
x3 dx x3 - 6x2 + 11x - 6 dx
" , " dx, " ,
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,
2x cos2 x
x x 2
sin - cos dx, 8x(1 - 5x38-x) dx, tg2x dx,
2 2
e2x e-x
(tgx + ctgx)2 dx, dx, dx,
ex + 1 1 + e-2x
2 dx dx
x � 5-x dx, , ,
(ex + e-x)2 4x - 1 - 4x2
"
sin x dx sin 2x dx
"
" , " dx, sin x
x
1 + 2 cos x 2 + cos2 x
dx dx
x5 ln x dx , sin (ln x) ,
e2x"+ e-2x + 2 x
x2-1
dx xe dx
" , " dx, " ,
x 1 - 4 ln x x2 - 1 3 - x2
earcsin x + x + 3 x + 5
(x2 + x) ln (x + 1) dx, " dx, dx,
cos2 x
1 - x2
arctgx 1 1
ln2 x dx, dx, arcsin dx,
x2 x2 x
sin 2x � 5sin x dx, x2arctgx dx, cos (ln x) dx,
x + sin x ln x
earccos x dx, dx, dx,
sin2 x (x + 1)2
ln(ln x) x2
sin 4x � 3cos 2x dx, dx, dx,
x 5 - x6
x3 - 2x2 + 4 x - 1 x2 + 4x + 4
dx, dx, dx,
x2 + 2x - 3 3x2 + 2x + 1 x(x - 1)2
ex + 1 cos x dx
dx, , sin2 3x dx,
e2x + ex + 2 sin2 x(2 + sin2 x)
dx dx 1 + tgx
, , dx,
5 + 4 cos x sin 2x
x(ln3 x - 2 ln2 x + ln x)
"
dx (x + 3)
, " dx, x3 1 - x2 dx,
sin x + 3 cos x + 1
1 - 4x2
dx dx dx
" " , " , " ,
x - 1 - x - 2 1 - 4x - x2 x 1 + x2
"
dx (x - 3)
" " , " dx, 1 - 2x - x2 dx,
4
( x + 3 - 1) x + 3 x2 + 6x
dx 1 - x 1 1 + x
" , dx, dx,
1 + x x2 x
x x2 - 2x - 1
"
3x + 3 11x - 1 1 - x
" dx, " dx, " dx,
1 + x
-x2 + 10x - 24 2x2 - 5x - 2
" "
dx
" , x2 x + 2 dx, x2 - 4 dx.
x - x2 - 1