BÀI TẬP TÍCH PHÂN
1
2 1
dx
2 1
x ln(x 4) 4x
dx
e
2 1
1
x ln x dx
(x 2)
2 1
(5 ) 5
dx x
1
2
0
dx
x 1 x
3
2
1
ln(x 1)
dx x
2
2 1
ln dx 1
x x
4
3
cot
dx
s inx.sin
4
x
1 0
2
dx
2 9 3 2
x
2
0
1 s inx dx
2
2 0
sin xdx
1 cos x
1 2
2
0 (x1) 1 2 x dx
1
dx ln
e
x
4 3
4 1
1
x x
2
0
cos 2 sin cos
1
2
0 3
dx
x
2 2
0 cos s in
1
0
2 1
xdx x
2
0
sin 2 cos
1 cos
dx x
1
3
0
xdx
x 1
1
2 0
ln x 1 dx
2
3 0
s inxdx
2
3
4
x.cosx dx sin x
1
4 2
0
2
3ln 2
2
3 x
0
dx
2 6
0
1 s in x
dx cos x
2
2 0
dx 4
x e x x
x
1
dx
2
3
2 3
( sin )sin
(1 sin )sin
x
x x
2
0
2
2 sin 1
) sin (
1
dx
e
3
2 1
dx
x x
2
2
1
1
dx
1
3
4 4
dx x c x
4
2
4
.s inx os
0
1 dx 1
x x x
1
6 5 5
0 1
dx
x
1 7
5
2
0 1
x dx
x
4
2 0
2
1 tan
x
x
4
2 0
s inx
2 cos 5s inx os
2
2
0 2 s inxcos
e
dx x x x
x
x
1
2 ln 3 ln
1
ln
3 4
2 0
tan 1 cos 1 os
8
5
9 ln ln
e
e
x dx
1 4
6 0
1 1
x
Trang 2x
x
e
1
2
)
ln
1
ln(
7
2
1
4
3 0
s inx+ cos
x
2
sin cos
s inx cos
x
2
sin cos
s inx cos
x
2
0
sin 2
3 4s inx os2
2 cos 0
( e x s inx).sin 2 x dx
4
2 0
sin 4
1 cos
x
2
2
0
1
1
2 0
2 4
1
ln 9
1 2
1 2
1 (x 1 )e x x dx
x
6
0
tan( )
4
os2x
x
dx
c
1
0
2
) 1
4
2
3 x 1 2 x 1
0
tan ln(cos ) cos
dx x
1
3
3
2011
1
x x dx ln 2
0
x
3
2 0
1 cos
x
x
inx
2
3
2
x x x dx
6 0
sin 3
xc x xdx
1
2 4
0 1
x
2 6 0
3sin x s cos xdx
s cos x
2
4
1 sin 2
dx x
2
3 2 0
sin 2
1 2 sin
x dx x
4
0 (sin x cos x dx)
1
2
0
2
2
0
sin 2
2 sin
x
dx
x
7 3
3 0
1
3 1
x dx x
2
1
x x 1
dx
x 5
0
1 s
1 cos x
1
dx
1
x2 x 1 x2 x 1 dx
0
x dx
1 x x
2
3
dx
e
1
ln x
dx
x 2 ln x 2 ln x
Trang 3TÍCH PHÂN TRONG CÁC ĐỀ THI ĐH - CĐ
ĐH – 2011 A 4
0
x sin x x 1 cos x
dx
x sin x cos x
B
3
2 0
1 x sin x
dx cos x
D
4
0
4x 1
dx 2x 1 2
ĐH – 2010 A
1 2 x 2 x
x 0
x e 2x e
dx
1 2e
B
e
2 1
ln x
dx
x 2 ln x
D
e
1
3 2x ln xdx x
ĐH – 2009 A 2 3 2
0
cos x 1 cos xdx
B
3
2 1
3 ln x
dx
x 1
D
3
x 1
dx
e 1
ĐH – 2008 A
4 6
0
tan x dx cos 2x
B
4
0
sin x dx
4 sin 2x 2 1 sin x cos x
D
2
3 1
ln x dx x
ĐH – 2007 A
1 x
0
xe exdx
B
e
2
1
x ln x dx
D
e
3 2
1
x ln xdx
ĐH – 2006 A
2
0
sin 2x
dx
cos x 4sin x
B
ln5
ln3
dx
e 2e 3
D
1
2x
0
x 2 e dx
ĐH – 2005 A
2
0
sin 2x sin x
dx
1 3cos x
B
2
0
sin 2x cos x
dx
1 cos x
D 2 sin x
0
e cos x cos xdx
ĐH – 2004 A
2
1
x dx
1 x 1
B
e
1
1 3ln x ln x
dx x
3 2
2
ln x x dx
ĐH – 2003 A
2 3
2 5
dx
x x 4
B
2 4
0
1 2sin x
dx
1 sin 2x
D
2 2
0
x x dx
ĐH – 2002 A 5 2
0
x 3 x 4x 3 dx
B
0
4 4 2