Exercises 8.4
.
ˆ
5
1
15
8
4
ˆ
4
15
2
4
3
1
4
3
2
4
3
1
4
.4
3
1
.2
x-4dv and xu Let
4
.
ˆ
)(sin
9
1
)sin(
3
1
)(cos
3
1
)cos()(sin1
3
1
)(cos
3
1
)(cos
3
1
)(cos
3
1
)sin()(cos
).(cos
3
1
- vand
.)sin()(cosdv and x u Let
)sin()(cos
.
ˆ
)1ln(
2
11
arctan
1
1
arctan
1
arctan
.
.
1
11
t
1
1
1
du
dt.dv and
1
arctan u Let
1
arctan
2
2
3
2
2
5
2
2
3
22
2
3
2
2
3
2223
2
3
2
22
23
33
23
332
3
2
2
2
2
222
cxxcxxx
xdxxxxdxxx
xv
xdxdu
dxx
dxxx
cxxxx
dxxxxx
dxxxxdxxxx
xdxdu
dxxx
dxxxx
ct
t
t
dt
t
t
t
t
dt
t
tv
dt
t
dt
t
t
dt
t
By a trigonometric substitution
21.
23.
32.
