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Ki畉n th畛c  K畛 nng  Kinh nghi畛m Th畉y H畉i - St: 0988360070
畛i bi畉n lo畉i I - 1 -
D畉U HI畛U 畛I BI畉N LO畉I I
1. M畉u s畛 2. Cn th畛c 3. Bi畛u th畛c ch畛a l滴y
th畛a
4.
 ....
e 5. lnx
BI T畉P MINH H畛A
1.
4
0
1
2 1
I dx
x


 6.
3 3
2
0 1
x dx
I
x


 11.
ln5 2
ln 2 1
x
x
e dx
I
e



2.
22
3
3
1
3 5I x dx 
7.
1
3 2
0
2I x x dx  12.
1
1 ln
e
x
I dx
x

 
3.  
1
33 4
0
1I x x dx  8.  
1
65 3
0
1I x x dx  13.
2
3
0
cosI xdx

 
4.
tanx 24
2
0
cos
e
I dx
x


  9.
2
2
sin
4
sin 2x
I e xdx


  14.
2
2
sin 3
0
sin cosx
I e x xdx

 
5.
 
1
sin lne
x
I dx
x
  10.
1
1 3ln ln
e
x x
I dx
x

  15.
2
ln
e
e
x
I dx
x
 
LUY畛N T畉P
1.
32
0
4sin x
I dx
1 cosx




2.
1
3 2
0
I x 1 x dx  3.
1
5 2
0
I x 1 x dx 
4.
1
0
x
I dx
2x 1


 5.
1
x
0
1
I dx
e 4


 6.
2
x
1
1
I dx
1 e



7.
2x2
x
0
e
I dx
e 1


 8.
x1
x
0
e
I dx
e 1




 9.
e
2
1
ln x
I dx
x(ln x 1)



10.
7
3
3
0
x 1
I dx
3x 1




11.
1
3 4 5
0
I x (x 1) dx  12.
2
3
1
1
I dx
x 1 x



13.
xln3
x 3
0
e
I dx
(e 1)


 14.
1
2x
0
1
I dx
e 3


 15.
1
0
1
I dx
3 2x

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  • 1. Ki畉n th畛c K畛 nng Kinh nghi畛m Th畉y H畉i - St: 0988360070 畛i bi畉n lo畉i I - 1 - D畉U HI畛U 畛I BI畉N LO畉I I 1. M畉u s畛 2. Cn th畛c 3. Bi畛u th畛c ch畛a l滴y th畛a 4. .... e 5. lnx BI T畉P MINH H畛A 1. 4 0 1 2 1 I dx x 6. 3 3 2 0 1 x dx I x 11. ln5 2 ln 2 1 x x e dx I e 2. 22 3 3 1 3 5I x dx 7. 1 3 2 0 2I x x dx 12. 1 1 ln e x I dx x 3. 1 33 4 0 1I x x dx 8. 1 65 3 0 1I x x dx 13. 2 3 0 cosI xdx 4. tanx 24 2 0 cos e I dx x 9. 2 2 sin 4 sin 2x I e xdx 14. 2 2 sin 3 0 sin cosx I e x xdx 5. 1 sin lne x I dx x 10. 1 1 3ln ln e x x I dx x 15. 2 ln e e x I dx x LUY畛N T畉P 1. 32 0 4sin x I dx 1 cosx 2. 1 3 2 0 I x 1 x dx 3. 1 5 2 0 I x 1 x dx 4. 1 0 x I dx 2x 1 5. 1 x 0 1 I dx e 4 6. 2 x 1 1 I dx 1 e 7. 2x2 x 0 e I dx e 1 8. x1 x 0 e I dx e 1 9. e 2 1 ln x I dx x(ln x 1) 10. 7 3 3 0 x 1 I dx 3x 1 11. 1 3 4 5 0 I x (x 1) dx 12. 2 3 1 1 I dx x 1 x 13. xln3 x 3 0 e I dx (e 1) 14. 1 2x 0 1 I dx e 3 15. 1 0 1 I dx 3 2x