1
TÍNH :
1/I =
2
0
1 cos x
dx
1 cos x
2/ I =
4
4
0
cos x dx
3/ I =
2
4
4
sin
1
x dx
4/ I =
4
0
6
cos
1
x dx
5/I= cos 2 x ( si n4x cos4x ) dx
2
0
6/ I =
3
2
0
4 sin x
dx
1 cosx
7/ I =
1
2
0
8/I =
1
0
x 1 x dx
9/I =
1
0
x
dx 2x 1
10/I =
1
x
0
1
dx
e 4
11/I =
2
x
1
1
dx
1 e
12/I =
2x
2
x
0
e
dx
e 1
14 /*I =
3
2
4 1
dx x
15/I = 3
2 4
tan x
dx cos x cos x 1
16/I =
1 4
e
2 1
e
1
dx
x cos (ln x 1)
17/ I =
x
ln 3
0
e
dx (e 1) e 1
18/I = 1
3
1
dx
x 4 x
19/I = 4
2 2
1
dx
x 16 x
20*/I =
6
2
2 3
1 dx
x x 9
21/I =
2
1
22/I =
2
0
x (x 4) dx
23/I =
2 4
4 3 3
dx x
24*/I =
2 2
2 2
dx
25/I =
ln 2 x 0
e 1dx
Trang 213/I =
x
1
x
0
e
dx
27/I =
e
2
1
ln x
dx x(ln x 1)
28/I =
7
3
3
0
x 1
dx 3x 1
29/I =
2
0
(x 3) x 6x 8 dx
30/I =
2
3
1
dx sin x 1 cos x
31/I =
1
0
x (x 1) dx
32/I =
1
2 3 0
(1 2x)(1 3x 3x ) dx
33/I =
2
3 1
1
dx
x 1 x
34/I =
1
2 3 0
(1 x ) dx
35*/I =
1
2x
0
1
dx
e 3
36/I =
x
ln 3
0
e
dx (e 1)
37/I =
0
1
38/I =
2
0
1 cos x sin x.cos xdx
39*/I =
2 3
2 5
1 dx
x x 4
26/I =
2 5 0
sin xdx
42*/I = 3 0
1 dx cos x
43/I =
2x 1 x 0
e dx
44/I =
ln 3 x 0
1 dx
e 1
45/I = 4 2 6
1
dx sin x cot x
46/I =
e
1
ln x 2 ln x
dx x
GV: NGUYỄN ĐỨC BÁ-THPT TIỂU LA THĂNG BÌNH
47/I = 2 0
sin x.sin 2x.sin 3xdx
48/I =
7 3
2
x
dx
1 x 2x
49*/I = 2 0
4 cos x 3sin x 1
dx 4sin x 3cos x 5
50/I =
9 3 1
x 1 xdx
0
x
2
52*/I = 2 0
x
dx
2 x 2 x
53**/I = 1 2 0
ln(1 x)
dx
54/I = 2 0
sin x
dx sin x cos x
Trang 33
40/I =
4
0
x
dx
1 cos 2x
41/I =
2x
ln 5
x
ln 2
e
dx
e 1
56*/I =
2
2 0
4 x dx
57/I =
2
e
1
.ln xdx
x
58/I =
2 1
0
x
dx (x 1) x 1
59/I =
2
0
(cos x 1) cos x dx
60/I =
3
2
2
ln(x x)dx
61/I =
2
e
e
ln x
dx x
62/I =
2
e
1
ln x
dx
ln x
63/I =
1
3
1
2
x
dx
x 1
64/I =
3
2
3
1
dx
x 3
65/I =
3
2
6
ln(sin x)
dx cos x
66/I =
3
4
4
cos 2x 1dx
67*/I =
2
2 0
ln( 1 x x)dx
55/I = e
1
cos(ln x)dx
70/I =
3 3 2 1
x dx
x 16
71/I =
6
2 0
x.sin x cos xdx
72/I = 2
1
x dx
1 x 1
GV: NGUYỄN ĐỨC BÁ-THPT TIỂU LA THĂNG BÌNH
73/I = 6
2 0
cos x
dx
6 5sin x sin x
74*/I =
2
e 2 e
ln x
ln x
75/I = 0
cos x sin xdx
76/I = 2
0
1 sin xdx
77/I =
3 4
4
sin 2x dx
78/I = 0
1 sin xdx
79/I =
2 1
80*/I =
2 0
x sin x
dx
1 cos x
81*/I = 1
1
1
dx
82*/I =
4 1
x 1
x dx
1 2
Trang 468*/I =
3
2
2
1
dx
x 1
GV: NGUYỄN ĐỨC BÁ-THPT TIỂU LA THĂNG BÌNH
69/I =
3
8
1
x 1
dx x
84/I =
2
4
0
x cos xdx
85/I =
6
2 0
x.sin x cos xdx
86*/I =
2 x
1
2 0
x e
dx (x 2)
0
e sin xdx
88/I =
2
2
1
1
x ln(1 )dx
x
89/I =
e
2 1
e
ln x
dx (x 1)
90/I =
1
2
0
1 x
1 x
91/I =
2 t
1
ln x
x
92/I =
3
0
sin x.ln(cos x)dx
93/I =
2
e
2
1
cos (ln x)dx
94*/I =
4
3
0
1
dx cos x
95/I =
2
1
3 x
0
x e dx
83/I =
2
4 0
x sin xdx
98/I =
3 4
0
sin x
dx (tan x 1) cos x
99/I = 1 2 5
1
dx
100/I = 4 2 1
1 dx
x (x 1)
101*/I =
0
2 2
sin 2x
dx (2 sin x)
102/I = 1
2 0
x 3
dx
103/I = 1 3 0
4x dx
x 1
104/I = 1
0
1
dx
x 4x 3
105/I =
3 3
2 0
sin x
dx sin x 3
106/I =
x
ln 3
0
e
dx (e 1) e 1
107/I = 3
2 6
1
dx cos x.sin x
108/I = 3
3
1
dx sin x 9 cos x
109/I = 3
4
1 dx sin 2x
Trang 55
96/I =
2
2
0
e sin x cos xdx
97/I =
2
4 0
sin 2x
dx
1 cos x
111/I =
2
0
e sin xdx
112/I =
4 2
0
cos x
dx cos x sin x
113/I =
1
0
3
dx
x 9 x
114/I =
2
0
1 sin x
dx
1 3cos x
115/I =
2
0
cos x
dx sin x cos x 1
116/I =
1
3 3
1
dx
117/I =
1
0
x 1 xdx
118/I =
6
4
119/I =
0
2
1
1
dx
120/I =
3
2 1
1
dx 4x x
121/I =
2
2 1
122/I =
2
2
2
dx
GV: NGUYỄN ĐỨC BÁ-THPT TIỂU LA THĂNG BÌNH
110/I =
1
2
2x 0
dx
1 e
126/I = e
1
x(2 ln x) dx
127/I =
3 2 0
dx
128/I =
2 2 1
(x x) ln x dx
129/I =
2 2 1
1
x ln(1 ) dx
x
130/I =
4 3x 0
e sin 4x dx
131/I = 2
4 0
sin 2x
dx
1 cos x
132/I =
2 1 0
dx
133/I = 1 2 0
ln(1 x)
dx
134/I
4 1 6 0
1 x
dx
1 x
135/I =
1
0
x 1 x dx
136/I =
x 1
0
e dx
e e
137/I=
e
1 e
ln x dx
138/I = 2 5 1
ln x dx x
139/I = 2 0
sin 2x.cos x
dx
1 cos x
Trang 6123/I =
1
x 0
1
dx
3 e
0
e sin x dx
125/I =
2 x
1
2 0
x e
dx (x 2)
141/I =
2 4
0
1 2sin x
dx
1 sin 2x
142/I =
2
2
1
(x x) ln x dx
143/I =
2
1
2
0
x
dx
4 x
144/I =
1
4
2
2
0
x
dx
x 1
145/I =
e
2 1
e
ln x
dx (x 1)
146/I =
1
2
0
1 x
1 x
147/I =
2
3
cos x.ln(1 cos x) dx
148/
2
2
0
e sin x cos x dx
149/I=
2
4 0
sin 2x
dx
1 sin x
GV: NGUYỄN ĐỨC BÁ-THPT TIỂU LA THĂNG BÌNH
150/I =
2
2 1
x 1
140/I = 2 0
sin 2x sin x
dx
1 3cos x
155/I = 2 2 1
ln(1 x)
dx x
156/I = 2 0
sin 2x
dx
1 cos x
157/I =
2010 2
0
dx
158/I = 2 0
sin x.ln(1 cos x) dx
159/I =
3 4
4
tan x dx
160/I =
4 5 0
tan x dx
161/I =
2 2 4 1
1 x
dx
1 x
162/I =
3 7
0
x dx
1 x
163/I =
x
ln 2
x 0
1 e
dx
1 e
164/I =
5 2 0
sin x
dx cos x 1
165/I =
4
2 0
tan x 1
tan x 1
Trang 77
151/I =
4
2 0
x.tan x dx
152/I =
5
3
( x 2 x 2 ) dx
153/I =
4
1
2
dx
154/I =
2
1
x
dx
x 2 2 x
168/I =
2
2
0
cos x
dx cos x 1
169/I =
7
3
3
0
x 1
dx 3x 1
GV: NGUYỄN ĐỨC BÁ-THPT TIỂU LA THĂNG BÌNH
170/I =
2
0
sin 2x sin x
dx cos3x 1
171/I =
4
0
sin 2x
dx sin x 2 cos x
172/I =
2
3
2
2 0
x
dx
1 x
173/I =
2
3
2
1
dx x
174/I =
3
4
2
0
sin x
dx cos x
175/I =
2
2
0
cos x.cos 4x dx
176/I =
1
0
1
dx
e e
166/I =
2 3
0
dx
x 1
167/I =
1
2 2x 0
(1 x) e dx
180/I = 2
2 3
cos x
dx (1 cos x)
181/I =
3 2
2 0
sin x.cos x
dx cos x 1
182/I =
1 2 2 0
4x 1
dx
183/I = 2 0
cos x
dx cos 2x 7
184/I =
2
0
sin 2x(1 sin x) dx
185/I = 2 3 0
x 1
dx
186/I = 4
2 7
1 dx
x x 9
187/I = 2 0
cos x
dx
2 cos x
188/I =
2
2 2
3
1 dx
x x 1
189/I =
1
0
x (1 x ) dx
190/I = 2 0
sin x
dx
1 sin x
Trang 8177/I =
1
0
1
dx
x 1 x
178/I =
2
6
1 sin 2x cos 2x
dx cos x sin x
179/I =
x 2
1
2x
0
(1 e )
dx
1 e
193*/I =
3
4
cos x sin x
dx
3 sin 2x
194/I =
2
2
0
sin x
dx
195/I=
2
2
0
sin x
dx
196/I =
2
0
sin x
dx x
197/I =
2
2 0
sin x cos x(1 cos x) dx
198/I =
4
0
sin x cos x
dx sin x cos x 1
199/I =
2
0
sin x cos x cos x
dx sin x 2
0
x sin x cos xdx
201/I =
2
3
2
cos x cos x cos xdx
191/I = 2 0
cos x
dx
7 cos 2x
192/I = 4
2 1
1 dx (1 x)x
207/I = 3
2 0
cos x
dx
1 sin x
208/I =
2 3 6 0
sin x
dx cos x
209/I =
3 6
0
sin x sin x
dx cos 2x
210/I = 2
3
1
dx sin x 1 cos x
211/I =
3
1
1
dx
x (1 x )
212*I =
2 1
2 0
x ln(x 1 x )
dx
1 x
213/I =
4
2 1
(x 1) ln x dx
214/I =
3 2
2 1
3x
dx
x 2x 1
215/I =
1
3 a
e dx x
216/I =
1
2 0
dx
217/I =
3 1
0
x dx (x 1)
218/I = 1 3 0
3 dx
x 1
Trang 99
202*/I =
2
x 0
1 sin x
e dx
1 cos x
203/I =
1
2 3 0
(1 x ) dx
204/I=
2
2 2 0
1
dx (4 x )
205/I =
2
1
3
0
3x
dx
x 2
206*/I =
5 2
5 1
1 x
dx x(1 x )
232/I =
1
0
1
dx
x 1 x
233/I =
2
0
cos x
dx
2 cos 2x
234/I =
2
4
cos x sin x
dx
3 sin 2x
235/I =
2
0
(cos x sin x)dx
236/I =
2
0
cos x sin xdx
237/I =
4
x
1
238*/I =
1
1
1
dx
239*/I =
3 2
0
cos x
dx
240*/Tìm x> 0 sao cho
2 t x
2 0
t e
dt 1 (t 2)
219*/I =
4 1 6 0
dx
220/I = 1
3 0
x dx (2x 1)
221/I = 7
2
1 dx
2 x 1
222/I =
4 2
0
cos x
dx cos x sin x
223/I =
3 3 0
sin x
dx cos x
224/I =
3 7
0
x dx
1 x
225*/I = 2
3 1
1 dx
x 1 x
226/I =
3 1
2 0
x
dx
x 1 x
227/I = 1
2 1
1
dx
228/I = 3 4 6
1
dx sin x cos x
229/I =
4 3
6
cot x dx
230/I = 1
0
4x 1
dx
231/I =
1 2
2 1
2
1
dx
Trang 10
CHÚC CÁC EM
THÀNH CÔNG!
249*/I =
2
x
sin x
dx
250*/I =
2
2 0
tan x
dx
1 ln (cos x)
251*/I =
2
0
sin x
dx cos x sin x
252*/I =
1
3x 1
0
e dx
253*/I =
2
1
2
0
x
dx
x 4
254*/I =
4
3
2
0
dx
255*/I =
2
3
4
1
dx
GV: NGUYỄN ĐỨC BÁ-THPT TIỂU LA THĂNG BÌNH-QN
TEL : 0985 378 214
241/I =
x
ln 3
0
e
dx (e 1) e 1
242/I =
2
2
cos x 1
dx cos x 2
243/I = 2 0
sin x
dx sin x 2
244/I = 3
2 1
3 ln x
dx (x 1)
245/I = 2 0
1
dx
2 cos x sin x 3
246/I = 2 0
1 dx
2 sin x
247/I = 2 0
1 dx
2 cos x
248*/I =
1
2x 1
1 dx
3 e