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–1 1x4 =_ i x
xx
2
3=
x
x
2
5 105
+
+=
b
a3
7
125+
+=
3
150
x=
( ),
,–f x
ax b x
x b x
3
32
2
#=
+*
( )f xx
3=
( )f x x=
1 3 5 7 9f
5 7 1 9 3= f p
1 3 5 7 9g
5 7 9 3 1= f p
x
y
–2 2
k
f(x)
( )–
–f x
x
x
5
3 6=
A B
E
D C
13
5
EB
DE
5
11
7
17
5
13
°
°–
°
°
sin
sin
cos
cos
12
36
12
36
–2
1
i1 36
+_ i
2
1
2
3
. 3 –18
3 16_ i 3 –
2
18
4
3 116 +
– . k1 3k
k
5
24+
=_ _i i/
A
B C
24 3 36 3 48 3
72 3
7
3
–
–lim
x
x
2 4
32x 2
5
"f p
x
y
–3 2 8–5
3
4
5
7
y = f(x)
( ) ( )lim limf x f xx x2 0–
+" "
+
360 121
720 240
–x dx22
6
#
2
3
2
9
3
16
–
–
A
1 2 3
5 2 1
2 0 1
=
R
T
SSSSS
V
X
WWWWW
a an nn
3 21
2+
=_ i/
( ) – . –f x x x2 2 4 2= _ i
–2
7 –
2
3
3
1
x
y
OA
d
D
f(x)
–y
x
x
25
3 12
=+
–3
1
–25
1
–sin cosx dx x dx/
/2 2
3
0
0
3
##
6
3
3
ol-
x
x dx
12 +#
ln x c12 + +
. ln x c2
112 + + . ln x c2 12 + +
x
x c3
32+ +
( ) – –f x x x x3
18 13 2= +
limsin
x
x
2
3
2
3x
="3
–lim x x1 5 0x
+ + ="3_ i
–lim x2 4 0x 2
="
x
y
–2 1
2
1
f(x)
( ) ' ( )f x x f x dx0
1
+7 A#
– –x x5 2+
7 24+ –7 24
2 6 6 3
– ( – )
x y
x
y
yx
x y1 1
2 2
2
+
+
–
–.
– –
( ). ( – )
x
x x
x x
xx
9
5 6
2
2 31
2
2
22+ +
.2
2
23
3
3
2
1
h
+
+
+
2
1
2
3
2
5
–x x2 4< +
sin cosx x4
1F =
15
2
51
2
1
15
8
5
3
( ) . ( – )
x
x x6 250
2
2 2
#+
x xx x1 1
1 21 2
+ + +
–
sin
cos
x
x2 2
tanx
22
– tanx
22
tanx
2
1
2
cosx
22
x y2 32
+ =
cosx4
3=
–4
3 –
4
1
4
1
4
3
54
A
C
BD
d1
d2
3
1
9
7
3
1 –
3
1 –
9
7–
9
8
–i 1=
3 3 4 3 2
9 3
6 3 12 3
–i 1=
W WW
W
0 11
0+ +
.x x64log x2 =
( )x f xk kk 1
3
=/
2
1
k k4 3
2
k 21 + +
3
=/
6
5
4
3
3
2
2
1
3
1
( )
, 0
,
f xx
xx
x a x2 2 0
!
=
+ + =
Z
[
\
]]]
]]]
( ) ( )lim f x f 0x 0– ="
–
–lim
cos sin
sin cos
x a
x ax a"
y
x0 4
2
f(x)
y
x0 5
A) y
x0 3
1
B)
y
x0
4
D)
–1
y
x0 4
2
C)
3
y
x0 4
E)
1
3
( ) sinf x x=
'f6
d n
2
6
3
6
4
6
4
3
2
3
–
–lim lim
y x
x y
x y x2 2 2
5 5
" "f p
O B
Ax2+ y2 = 16
4 2 8 2
–2
3 –
2
1
2
1
2
3
y
xO a
f(x)
b
' ( )f x
10>
( ) –xf x dx x x x2 54 3 2= + +#
e
edx
1x
xn
0
2
+
,
#
n2
3, n
3
2, n5,
n6, n8,
–
( ) – ( )
limh x
f h dh f x dx
h x
xh
11
"
##
– x dx4 2
0
2
#
cos tdt4 2
0
2
# cot tdt4 2
0
2
#
cos tdt2
0
2
# sin tdt4 2
0
2
#
sin tdt4 2
0
2
#
y nx,=
e1
–
x
1 4 2
0 3 1
1 2
R
T
SSSSS
V
X
WWWWW
,
,–
,
,
0 04
0 2
0 001
0 1
x
xy
2 5
8 21
+
+= +
– ––
xx
33
54=
–x y
z3
1
5
1=
+=
cb
3
2
4
3
3
4
4
5
( ) –f x x2 5 3= +
( )– –
– –f x
x x x
x x x
2
3 2 6
23 2
3 2=
+
+
4
3
7
5
2
3
4
9
( ), –
, –f x
x x
x
2
4 2
2
#= *
A) y
x
4
2
–2
B) y
x
4
2
C) y
x
4
–2
D) y
x
4
–2
E) y
x
4
–2
x
y
f(x)
x21 1
sinx3
2=
–
3
1
–
2
1 – 2
2
5
10
5
–sin cosx x3
2=
9
1
9
4
9
5
3
1
3
2
°
° °
sin
cos cos
70
80 40+
2
1 2
2
3 3
.arg Z Z9
512
2
=a k
argZ
Z
92
1 =f p
12
9
8
6
5
Z 8=
2 –9Z Z i4+ =
Z
3 5 10
Z 3#
– 5 –Z i12
–log log x 5 13 2 #_ i9 C
– – .log log logx x2 2 5 22 5 2+ =_ _i i
3
10
2
9
2
11
–log log log x 1 12 2 2 =_a ik9 C
2 3 4 3
( )f k–k 2
3
=/
1–k 1
1
k 3
11
+=d n%
8
1
6
1
4
1
3
1
21
1
15
1
10
1
21
2
5
1
A
x
4 2 3
1 4 5
4 6
=
R
T
SSSSS
V
X
WWWWW
–1
limln x
e
1x
x
0
3
+" _ i
( )5 –
lim f xx
x
2 1
13
x+
+=
"3d n
( ) –lim f x 1x"3_ i
–
2
1
3
2
–
– 2 –lim
x
x x
8
4x 2 2
3
"f p
( ) lnf xx
x
8
42
=+
+f p
–2
1–
6
1
x
y
2 5
6
d
y = f(x)
x
y
14
y = f(x)
–2–4 0
x
dx2
3
5
#
–5
1 –
3
1
5
1
15
2
30
1
x a dx2 102
3
+ =_ i#
yx2
=
x
y
y x
y = x2
y x=
10
10
3
2
5
3
tan x dx2/
2
0
4
+ _ i#
4
1
+ 4
2
( ) –f x x6 12= +
7 6 5
( ) –
–:
–
x y xy
x y
y x
x y
2
3 3 2 2
+ +
–
: ( )x y
x yx y
4 42 2
++
( ) –f x x49 2=
A B+
51
3
1
25
1
125
3
125
1
( ) ( )
( ) ( )
f f
f f
5 7
3 1
+
+
3
1
2
1
xx2
412
+ =
sinx – cosx
sinx cosx
2
7+=
9
5
4
5
5
7
5
9
10
9
x02
< <
1– cosx
1 cosx–
1 cosx
1– cosx+
+
2
1
sin2x4
3=
4
1
2
1
3
2
4
3
3
2
.Z
ZZ Z
2
11 2+f p
8
3
4
1
8
1
x n n4kk
n2
1= +
=%
3
4
4
3
2
1
2
1
4
2
–2
1–
2
1
( )
| |0
,
f x xx
x
x5 0
=
=
Z
[
\
]]
]]
lim f (x) lim f (x)x 1 x 0
+" " +
limx – 4
x 1 – 2x ab
x 2 2
+ +=
"
( )f xx ax x
x b x
1
4 1
<2=
+
+*
lim f (x) 7x –4
=" +
lim f (x) 9x 0
=" +
lim f (x) 7x 3
="
lim f (x) 4x 6
="
lim f (x) 7x 6–
="
Aa
24
1= < F
( )k k Rd
–
––
A12
21
= < F
( )f x n x 12,= +
2n, 2
1 n4,
.( . )
edx
d e x–x
x
2
2 2
limcosx – sina
sinx – cosax a"
,2
1
8
1d n
. ( ) –x f x dx x x x2 34 3 2= + +#
( )e e dx–3
x xn
0
+,
#
tt
dt1
1
3
+d n# t
dt11
3n
20
+,
f p#
t
dt11
3n
0
+,
d n# t
dt112
1
3
+f p#
tt
dt12
1
3
+f p#
| sinx – 1 | dx0
3
#
–
6
1
6
2 3 +
–
6
3 2
–
6
2 3
5
2
( )f x dx3 602
4
=#
( )f x dx23
6
#
( )f xx
x 1=
+
( )f x dx–e
1
2
12 +
#
3
14
3
10
3
4
– x3 41# – y1 71 1
– –x 3 7 61
–B
2 5
5 15
5
+=
–
2 5
5 3
+
–B
4 –
B
2
B
1
B
2
B
4
y
x
5
7
–4
3
–3
4
– , ,3 3 3 5j _i7 A – , ,3 3 3 5j_ _i A – , ,4 4 4 7j_ _i A – ,4 7_ A – ,3 5_ A