lista de exercicio
CENTRO DE CIÊNCIAS DA NATUREZA - CCN
Bacharelado em Física
Disciplina: Cálculo II
Prof. Msc. Mykael Cardoso
Data: 30/10/2013
Período: 2013.2
1a Lista de Exercícios
Calcule:
1
8
(x + 3)dx
1.
16.
0
0
(2x + 1)dx
2.
0
2
(x3 − 2x + 3)dx
17.
−1
4
1
0
18.
(x2 − 1)dx
3.
1
5+
1
−1
2
1 dx x2
−1
5dx
1
2
(x7 + x3 + x)dx
38.
1
−1
3
(x + 3x − 3)dx
1
5x3 −
10.
0
1 dx 2
4
(5x +
25.
√
x)dx
0
40.
1
0
(2x + 3)dx
(x7 − x + 3)dx
26.
−1
2
(2x + 3)dx
12.
1
1
−1
1
+ x dx x2 13.
−2
4√
xdx
15.
1
42.
43.
0
4
29.
sen xdx
0
0
1+x
√ dx x e−2x dx
44.
−1
π
3
1
2
(x − 3) dx
30.
1 dt 1 + t2
π
4
0
1
1
√ dx x 1
1+x dx x3
1
28.
0
4
−1
(x + 1)2 dx
27.
e2x dx
41.
1
0
sen 3xdx
−π
1
1
11.
cos 2xdx
−π
3
1
2
0
1 + 3x2 dx x
39.
(x + 3)dx
24.
1 dx x
π
2
1
2
1+
37.
−3
23.
√
3
tdt
1
36.
3
x3 dx
22.
−1
(s2 + 3s + 1)ds
35.
1
8.
(u2 − 2u + 3)du
0
3
1 dx x3
1
UFPI
3
34.
1
21.
4dx
9.
√
4
xdx)
3
2
1
(x +
1 dx x3
0
6.
3
x3 + x +
20.
1
7.
1
2
1
dx
(s + 2)ds
33.
2
3
5.
1
√
8
xdx
19.
−2
14.
1
0
1
4.
1 + t2 dt t4
32.
−1
1 dx 2
(t2 + 3t − 1)dt
31.
0
1
2
√
3
xdx
(3 + cos 3x)dx
45.
0
0
1
Prof. Mykael Cardoso
1
46.
1
sen 5xdx
1
2
47.
0
π
2
54.
2 dx
0
0
π
2
2
2xex dx
49.
55.
1
50.
0
1
0
0
1 1
+ cos 2x dx
2 2
π
4
60.
4
π
2
2x dx 1 + x2
5 dx x
61.
2
sen xdx
56.
tg 2 xdx
0
cos2 xdx
0
0
3x ex dx
59.
0
x