68.
.
chx
shx
dx
69.
x
ch
shx
dx
2
.
70.
.
3
x
ch
shx
dx
,
cos
,
sin
dx
x
R
(bunda
R
rasional funksiya) ko’rinishdagi integrallarni
hisoblang.
71.
.
cos
5
3
x
dx
72.
.
cos
8
10
x
dx
73.
.
cos
4
5
x
dx
74.
.
sin
5
13
x
dx
75.
.
sin
5
3
x
dx
76.
.
sin
3
5
x
dx
77.
.
cos
x
b
a
dx
78.
.
sin
x
b
a
dx
Mustaqil yechish uchun misollarning javoblari
5.1.
.
2
sin
4
1
2
1
C
x
x
5.2.
.
sin
3
1
sin
1
3
C
px
p
px
p
5.3.
.
cos
1
cos
3
1
3
C
px
p
px
p
5.4.
.
4
sin
4
1
8
3
C
px
p
x
5.5.
.
cos
5
1
cos
3
2
cos
5
3
C
x
x
x
5.6.
.
cos
ln
2
1
)
6
2
C
x
x
tg
5.7.
.
sin
ln
2
1
2
C
x
ctg
5.8.
.
sin
5
1
sin
3
2
sin
5
3
C
x
x
x
9.
.
4
sin
32
1
2
sin
1
8
3
C
px
p
px
np
x
10.
.
4
sin
28
1
4
sin
8
1
C
x
x
11.
.
8
sin
16
1
2
sin
4
1
C
x
x
12.
.
5
sin
10
1
3
sin
6
1
C
x
x
13.
.
10
cos
20
1
4
cos
8
1
C
x
x
14.
.
2
cos
4
1
8
cos
16
1
C
x
x
15.
.
,
2
sin
2
sin
2
2
q
p
C
q
p
x
q
p
q
p
x
q
p
16.
.
,
2
sin
2
sin
2
2
q
p
C
p
q
x
p
q
q
p
x
q
p
17.
.
,
2
cos
2
cos
2
2
q
p
C
q
p
x
q
p
q
p
x
q
p
18.
.
8
2
cos
16
4
cos
24
6
cos
C
x
x
x
19.
.
4
sin
12
3
sin
28
7
sin
36
9
sin
C
x
x
x
x
20.
.
2
ln
C
x
tg
21.
.
2
ln
2
1
sin
2
cos
2
C
x
tg
x
x
104
22.
.
3
1
2
3
sin
3
cos
3
3
C
ctgx
x
ctg
C
ctgx
x
x
23.
.
2
ln
8
3
sin
cos
8
3
sin
4
cos
2
4
C
x
tg
x
x
x
x
24.
.
3
2
5
1
3
5
C
ctgx
x
ctg
x
ctg
25.
.
2
4
ln
C
x
tg
26.
.
3
2
5
1
5
4
5
4
cos
5
sin
3
5
3
5
C
tgx
x
tg
x
tg
tgx
x
tg
x
x
27.
.
2
ln
2
1
2
2
C
x
tg
x
sh
chx
28.
.
3
1
3
C
cthx
x
cth
29.
.
2
1
2
2
C
shx
arctg
x
ch
shx
30.
.
3
1
3
C
thx
x
th
31.
.
ln
2
1
2
C
chx
x
ch
32.
.
2
2
ln
sin
C
x
tg
x
33.
.
cos
ln
cos
2
1
2
C
x
x
34.
.
2
4
ln
sin
sin
3
1
3
C
x
tg
x
x
35.
.
cos
1
C
x
36.
.
C
x
tgx
37.
.
cos
1
cos
C
x
x
38.
.
C
shx
arctg
shx
39.
.
ln
2
1
2
C
chx
x
ch
40.
.
3
1
3
C
shx
arctg
shx
x
sh
41.
.
C
thx
x
42.
.
2
4
1
2
3
C
thx
x
sh
x
43.
.
2
1
2
2
C
shx
arctg
x
ch
shx
44.
.
3
1
1
3
C
x
ch
chx
45.
.
3
1
3
C
x
thx
x
th
46.
.
3
1
3
C
x
th
47.
.
2
ln
C
x
th
chx
48.
.
ln
2
1
2
C
shx
x
ch
49.
.
2
ln
3
1
3
C
x
th
chx
x
ch
50.
.
4
sin
32
1
8
1
C
x
x
51.
.
sin
5
1
sin
3
1
5
3
C
x
x
52.
.
6
sin
192
1
4
sin
64
1
2
sin
64
1
16
C
x
x
x
x
53.
.
sin
4
1
4
C
x
54.
.
cos
3
1
cos
5
1
3
5
C
x
x
55.
.
2
cos
3
5
cos
3
1
64
1
C
x
x
56.
.
2
2
C
x
sh
57.
.
4
32
1
8
C
x
sh
x
58.
.
15
2
5
1
3
2
3
C
x
sh
x
ch
x
sh
59.
.
6
192
1
4
64
1
2
64
1
16
1
C
x
sh
x
sh
x
sh
x
60.
.
15
2
5
1
3
3
2
C
x
ch
x
ch
x
sh
5.105.
105
.
4
1
6
1
4
1
6
1
4
6
2
6
C
x
ch
x
ch
x
sh
x
sh
61.
.
ln
C
tgx
62.
.
2
ln
cos
1
C
x
tg
x
63.
.
ln
cos
2
1
2
C
tgx
x
64.
.
2
ln
cos
3
1
cos
1
3
C
x
tg
x
x
65.
.
sin
1
2
4
ln
C
x
x
tg
66.
.
2
2
C
x
ctg
67.
.
ln
sin
2
1
2
C
tgx
x
68.
.
ln
C
thx
69.
.
2
ln
1
C
x
tg
chx
70.
.
ln
2
1
2
C
thx
x
th
71.
.
2
2
2
2
ln
4
1
C
x
tg
x
tg
72.
.
3
2
3
1
C
x
tg
arctg
73.
.
3
2
3
2
C
x
tg
arctg
74.
.
12
5
2
13
6
1
C
x
tg
arctg
75.
.
9
2
3
1
2
3
ln
4
1
C
x
tg
x
tg
76.
.
4
3
2
5
2
1
C
x
tg
arctg
77.
.
,
2
2
ln
1
,
,
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
b
a
C
b
a
x
tg
a
b
b
a
x
tg
a
b
a
b
b
a
C
b
a
x
tg
b
a
arctg
b
a
78.
.
,
2
2
ln
1
,
,
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
b
a
C
a
b
b
x
atg
a
b
b
x
atg
a
b
b
a
C
b
a
b
x
atg
arctg
b
a
106
21-amaliy mashg’ulot.
BA’ZI IRRASIONAL IFODALARNI INTEGRALLASH
Quyidagi integrallarni hisoblang.
1.
.
4
x
x
dx
2.
.
3
x
x
dx
3.
.
1
1
x
dx
4.
.
1
2
1
1
dx
x
x
5.
.
2
4
3
x
x
x
dx
6.
.
1
1
1
1
3
dx
x
x
.
7.
dx
x
x
1
1
1
1
.
8.
dx
x
x
x
x
1
1
1
1
.
Quyidagi integrallarni (Eyler almashtirishlaridan foydalanib) hisoblang.
9.
.
2
2
1
2
x
x
dx
10.
.
3
4
4
2
x
x
x
dx
11.
.
1
1
2
x
x
x
dx
12.
.
1
2
x
x
x
dx
13.
.
5
2
x
x
x
dx
14.
.
4
2
x
x
x
dx
15.
.
2
2
x
x
x
dx
16.
.
8
6
3
2
x
x
dx
x
Quyidagi integrallarni, binomial differensiallarni integrallash usulidan
foydalanib,hisoblang.
17.
.
1
2
3
dx
x
x
18.
.
1
1
2
3
6
dx
x
x
19.
.
1
5
8
4
3
x
x
dx
20.
.
1
2
3
x
x
dx
21.
.
1
3
2
3
dx
x
x
22.
.
1
2
3
3
dx
x
x
23.
.
1
3
4
3
dx
x
x
24.
3
1
x
x
dx
.
Quyidagi integrallarni,
,
,
2
2
dx
a
x
x
R
dx
x
a
x
R
2
2
,
ifodalarni
107
integrallash usulidan foydalanib, hisoblang.
25.
.
9
2
dx
x
26.
.
16
9
2
dx
x
27.
.
2
2
2
dx
x
b
a
28.
.
4
3
2
x
dx
29.
.
3
2
2
2
x
b
a
dx
30.
.
2
2
2
x
b
a
x
dx
31.
.
2
2
2
dx
x
b
a
x
m
32.
.
2
2
2
2
dx
x
b
a
x
Quyidagi integrallarni hisoblang.
33.
.
9
3
2
x
dx
34.
.
25
2
2
x
dx
x
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