1 Lista de Cálculo II Integrais por Substituição
4 pág.

1 Lista de Cálculo II Integrais por Substituição


DisciplinaCálculo II32.437 materiais848.276 seguidores
Pré-visualização1 página
Curso de Engenharia Biotecnológica 
 
Campus de Assis
 
 
 
1ª Lista de Exercícios de Cálculo Diferencial e Integral II 
 
 
Integrais 
 
 
1- Resolva as integrais: 
 
a) \u222b 
b) \u222b ( ) 
c) 
\uf028 \uf029
\uf0f2 dx 
x3cos
2x sen
3
 
d) 
\uf0f2
\uf02b
dx 
4-x
2410x-x2 
e) 
\uf0f2
\uf02b
dx 
x2cos
xosc1
2
2 
f) 
\uf0f2 \uf02d
\uf02d
dx 
x
x
1
1
 
g) 
\uf0f2
\uf02b
\uf02b
dx 
x
xx
1
24
2
42 
h) 
dx
x
xx3
\uf0f2
\uf02b\uf02b 56 
i) \u222b 
j) \uf028 \uf029\uf0f2 \uf0d7\uf02d dxxx 27
1
3 2
 
 
 
 
Curso de Engenharia Biotecnológica 
 
Campus de Assis
k) 
\uf0f2
\uf02b
dx
x
x
21
 
l) 
\uf0f2
\uf02b
dx
x
x
41
 
m) 
\uf0f2
\uf02b
dt
e
e
t
t
21
 
n) \u222b ( ) ( ) 
o) 
\uf0f2
\uf02d
\uf0d7
dx
xsec
xtgxsec
21
 
p) \u222b 
q) \u222b 
r) 
\uf0f2 dx 
x sen
x sen+x cos
3
 
s) 
\uf0f2
\uf02b
dx
x241
1
 
t) 
\uf028 \uf029\uf0f2 \uf02d\uf0d7 dttt
932 82
 
u) 
\uf0f2 \uf0d7\uf0f7
\uf0f8
\uf0f6
\uf0e7
\uf0e8
\uf0e6
dx
xx
cos
2
13
 
v) \u222b 
w) \u222b 
x) 
\uf0f2 dx x cos-x
x sen+1
 
y) \u222b( ) 
z) 
\uf0f2 \uf02d
dx 
x cos
x sen
1
 
 
 
 
Curso de Engenharia Biotecnológica 
 
Campus de Assis
 
2- Calcule as integrais: 
 
a) 
\uf0f2
\uf02b
\uf02b
dt
te
e
t
t
2
2
 
b) 
\uf028 \uf029\uf0f2 \uf02d dxxx
1222
 
c) 
\uf0f2 \uf0d7 dxxlnx
1
 
d) 
\uf028 \uf029\uf0f2 \uf0d7\uf02b
dx
xx1
3
 
e) 
\uf0f2 \uf02b\uf0d7 dxxx 13
2
 
f) 
\uf0f2
\uf02b\uf02b
\uf02b
dx 
3x4x1
3x2
2
 
g) \u222b 
h) 
\uf0f2 \uf0d7 dxex
x2
 
i) 
\uf0f2 \uf02d\uf0d7 dxxx
2218
 
j) 
\uf028 \uf029\uf0f2 \uf02d
 
vv
dv
5
1
 
k) \u222b( ) 
l) 
\uf028 \uf029\uf028 \uf029\uf0f2 \uf02b\uf0d7
dx
xlnx
xln
21
 
 
 
 
Curso de Engenharia Biotecnológica 
 
Campus de Assis
m) \uf028 \uf029
\uf0f2 dxx
xsen
 
n) 
\uf028 \uf029\uf0f2 dxx-1cos
x
52
4 
o) \u222b ( ) 
p) \u222b\u221a ( ) ( ) 
q) 
\uf028 \uf029
\uf0f2
\uf02d
 
xlnx
dx
2
1
 
r) 
\uf028 \uf029
\uf028 \uf029\uf0f2 \uf02b \uf071\uf071
\uf071
d 
15cos
15sen
1
 
s) 
\uf0f2
\uf02d\uf0d7 dxex x
322
 
t) 
\uf0f2 \uf0d7 dxexcos
senx
 
u) 
\uf028 \uf029\uf0f2 \uf0d7
dx
xlnx 5
5
2
 
v) \uf028 \uf029
\uf0f2 dxx
xln 2 
w) \uf028 \uf029\uf0f2 \uf0d7\uf02b dtee tt 23
1
2 2
 
x) 
\uf0f2 \uf02d dxbax
 
y) 
\uf0f2 \uf0d7
\uf02b dxxx 1
2
2
 
z) 
\uf028 \uf029 \uf028 \uf029\uf0f2 \uf0d7 \uf071\uf071\uf071 dcossen 222
1