CAŁKI NIEOZNACZONE
1.
xdx
x sin
2.
dx
xe
x
3.
dx
e
x
x
2
4.
dx
e
x
x
2
1
5.
dx
e
x
x
2
2
1
6.
xdx
x ln
7.
dx
x
x
1
ln
8.
xdx
x ln
9.
xdx
x ln
2
10.
xdx
ln
11.
arctgxdx
12.
dx
x
arctg
13.
dx
x
x
2
1
ln
14.
dx
e
x
x
2
3
15.
dx
x
e
x
3
1
16.
dx
x
x
1
ln
2
17.
xdx
e
x
cos
18.
xdx
e
x
3
sin
2
19.
xdx
arctg
x
3
2
20.
dx
x
1
ln
2
21.
dx
x
x
x
x
2
2
1
1
ln
22.
dx
x
xe
arctgx
2
3
2
1
23.
dx
x
x
x
ln
1
dla chętnych
24.
xdx
cos
25.
xdx
3
cos
26.
xdx
x cos
sin
27.
xdx
x
2
3
cos
sin
28.
xdx
x
5
4
cos
sin
29.
xdx
x
6
7
cos
sin
30.
xdx
x
3
3
cos
sin
31.
xdx
5
cos
32.
xdx
2
sin
33.
xdx
4
sin
34.
xdx
2
cos
35.
xdx
x
2
2
cos
sin
36.
x
dx
cos
2
37.
x
dx
cos
4
5
38.
x
x
dx
sin
3
cos
4
39.
x
x
dx
cos
sin
1
40.
x
xdx
cos
1
cos
41.
x
x
dx
cos
sin
42.
x
x
dx
2
2
sin
3
cos
43.
dx
x
x
2
sin
1
cos
44.
dx
x
x
3
2
1
2
45.
dx
x
x
x
6
4
3
2
46.
dx
x
x
x
10
3
11
5
2
47.
4
2
x
x
dx
48.
x
x
dx
3
49.
dx
x
x
x
x
3
2
4
2
2
2
3
50.
dx
x
x
x
4
5
2
4
2
51.
dx
x
x
x
4
5
1
1
2
2
52.
dx
x
x
x
x
2
6
2
2
2
53.
dx
x
x
x
1
4
4
1
2
54.
dx
x
x
x
1
2
2
4
4
55.
dx
x
x
29
4
1
2
56.
dx
x
x
3
6
2
57.
dx
x
x
x
4
3
3
4
2
58.
dx
x
x
x
1
2
2
1
4
2
59.
dx
x
x
x
2
3
1
60.
dx
x
x
x
x
5
2
15
7
2
3
61.
dx
x
x
x
1
1
ln
62.
dx
x
x
2
1
ln
63.
1
x
dx
x
64.
dx
e
e
x
x
1
1
65.
dx
x
1
2
66.
dx
x
1
2
67.
dx
x
1
2
68.
dx
x
2
1
69.
dx
x
2
1
70.
dx
x
2
4
71.
dx
x
2
4
72.
dx
x
9
2
73.
dx
x
2
1
1
74.
dx
x
2
1
1
75.
dx
x
9
1
2
76.
dx
x
4
1
2