Boxmath.vn 1
Z
2x
x +√
x2− 1dx
2
x(x + 1)2
3
Z
xdx
√
1 + x2p1 +√
1 + x2dx
4
(x + 1)√
x2+ 2x + 2 5
1 +√
x +√
x + 1 6
Z
dx
3
√
x + 1[p(x + 1)3 2+ 1]
7
Z √
16 − x2dx 8
I =
x3.√3
2 − x3
9
I =
Z
3
√ 3x − x3
10
I =
Z
Sinx + Cosx 2Sin2x − 2Sin2x + 5Cos2xdx 11
Z sinx
1 + sin2xdx 12
x3 + 8dx 13
Z
x6
1 + x12dx
Trang 24
√ sin3x.cos5x 15
Z
dx sin2x − 2sinx 16
Z sinx.cos3xdx
1 + cos2x 17
Z dx
ex− 4e−x
18
Z (x3− x2+ 2x − 3)sinxdx 19
Z (x2+ 2)sin2x 20
Z π2
0
1 + sinx
1 + cosxe
xdx 21
Z xsin√ xdx 22
I =
Z π2
0
tanx
2dx 23
Z
e−2xcos(3x)dx 24
I =
Z cos2x sin3x sin(x +π4)dx 25
Z xdx sin2x 26
I =
Z π2
−π 2
xdx
4 − sin2x 27
Z cos2xdx sinx +√
3cosx 28
π 3
Z
π 4
tanx cosx√
1 + cosx2
Trang 3dx x(x6 + 1)2
30
Z
dx sin2x + sin2x − cos2x 31
Z
xdx 2x2− 1 + 3√x2− 1 32
1 +√
x +√
x + 1 33
Z (6x3+ 8x + 1)dx (3x2+ 4)√
x2 + 1 34
Z √
x2+ 2dx
x2− 1 35
Z
x3√3
1 + x2dx 36
3
p(2x + 1)2−√2x + 1 37
sinx − 2 38
Z 2 1
x2(√
x2+ 1 + x)) 39
Z π3
0
ln(1 +√
3tanx)dx
40
1 − x2− x
x3− x2− x + 1 −√1 − x2+ x√
1 − x2dx Còn nữa