Embed Size (px)
Citation preview
Chương 5c: Kĩ thuật liên kết tích phân
nick yahoo: chuong3a, mail: [email protected]
6/ Tích phân hàm mũ:....................................................................................................................5
1/ ....................................................................5
..........................................................6
2/ ........................................................................7
...............................................................7
................................................................8
.........................................................................................8
..........................................................................................9
..........................................................................9
.............................................................................97/ Kĩ thuật liên kết tích phân:......................................................................................................10
..........................................................................................10
............................................11
..........................................................................................11
1
........................................................................................12
...................................................................................................13
......................................................................................................13
....................................................................................14
............................................................................................................15
...............................15
................................................16
.............................................................................................16
..............................................................................................17
.............................................................................17
.....................................18
2
.........................................................................................20
.......................................................................21
.....................................................................................................22
............................................................................22
...................................................23
.....................................23
.....................................24
........................................................................................................25
........................................25
......26
.......................................................................................27
3
* .......................................................................................................27
..................................................................................................29
......................................................................................29
........................................................................................................30
..............................................................31
.............................................................31
.......32
..........................................................32
..................................................................33
..................................................................34
......................................................................34
..............................................35
2 2/2 /2
ax 4 ax 42
0 0
3 a 16 a1 ae .cos bx.dx e .sin bx.dx exp 1
8 2 a. a 16* I
..........36
8/ Tích phân hàm trị tuyệt đối:....................................................................................................36
...........................................................................................37
4
...........................................................................................................37
.........................................................................................................37
6/ Tích phân hàm mũ:
1/
5
6
2/
7
8
9
7/ Kĩ thuật liên kết tích phân:
Đổi biến số:
10
(Because the integral dont depend on variables).
11
12
13
14
15
16
17
Numerator: tử số, denominator: mẫu số.
18
19
20
21
22
23
24
25
26
*
* Cho f(x) liên tục trên và tuần hoàn với chu kì T cm:
áp dụng, tính tích phân :
27
28
29
30
31
32
33
34
35
* Help me to check the solution ?
36
37
8/ Tích phân hàm trị tuyệt đối:
x -2 0 2 3H 0 + 0 –
38
Gọi H = x – 1. H = 0 x = 1. x 0 1 2H – 0 +
Gọi G = x2 – x. G = 0 x = 0 V x = 1x 0 1 2G 0 – 0 +
39
40
41
16/ Cho:
Tính
Giải:
Nhận xét rằng với mọi thì Hàm là tăng và bị chặn trên
Nên hàm khả tíchTa có:
42
43
44
