A. X X3 2 1 DX B) LN X X2 DX C) 2 X X 1 310DX D) ( X2...
Bài 1: Tính:
a. x x
3
2
1 dx b) ln x x
2
dx c) 2 x x 1 3
10
dx d) ( x
2
3)
15
xdx .
Gi i
a) x x
3
2
1 dx t t x
2
1 dt 2 xdx .
dt t
Ta có:
3
. 1 .
4/3
3
4/3
3
3
2
1
4
I t t C x C
2 2 4 / 3 8 8
x x
dx x d x C
b) ln
2
ln
2
. ln ln
3
3
x
y x dx dy
c) t 1 1
2
1 1
.V y:
x y y
2 3 1
x dy
10
dx y
2 1 3 .
10
2
y y
1
x
2 5 1
8
8
7
9
8
5 5 2
y dy y dy y dy y y C
y
9 4
5 1
C
9
8
9 1 4 1
t x dt xdx xdx dt
d) t
2
1 2
2
dt t x
Khi đó ta có:
2
15
15
16
2
3
16
x xdx t C C
( 3) .
2 32 32
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