Exercicis Bloc II: Integració.
EXERCICIS INTEGRALS QUASI IMMEDIATES
Resoleu les següents integrals:
1.
( )
(
)
7
2
6
2
3 5
3 5
42
x
x x dx C
+
⋅ + ⋅ = +
∫
2.
( )
(
)
16
4
15
3 4
2 3
2 2 3
64
x
x x dx C
−
⋅ − ⋅ = +
∫
3.
( ) ( )
3
22
1
22
1
1
3
x
x x dx C
+
⋅ + ⋅ = +
∫
4.
23
3
21
3
1
x dx
x C
x
⋅
= ⋅ + +
+
∫
5.
1ln 5 2
5 2 2
dx
x C
x
= − ⋅ − +
−
∫
6.
2
ln 1 ln
2
x
dx x C
x
⋅ = ⋅ +
∫
7.
( )
2
2
1 1 ln 2 3
2 3 2
x
dx x x C
x x
+
⋅ = ⋅ + + +
+ +
∫
8.
3 3
1
3
x x
e dx e C
− −
⋅ = − ⋅ +
∫
9.
( )
2 2
4 3 4 3
1
2
2
x x x x
e x dx e C
+ + + +
⋅ + ⋅ = ⋅ +
∫
10.
( )
22
2
1ln 2
2 2
xx
x
e dx
e C
e
⋅
= ⋅ + +
+
∫
11.
( )
23
3
31
2
1
xx
x
e
dx e C
e
⋅ = ⋅ + +
+
∫
12.
( )
cos ln sin
sin
x
dx x C
x
= +
∫
