Math 129 Exam 1 Fall 2024
Name (Please Print.):
8pointseach
You need to show all your work to get a full credit.
sin21cos2, cos21sin2,sec
2tan21, tan 2sec21,
sin21cos 2
2, cos21cos 2
2,sin22sincos,
sin ucos v1
2sinuvsinuv,sinusin v1
2cosuvcosuv
Problem 1 Evaluate each integral.
(a) xe5xdx
(b) cos48xdx
1
Cheawon
kim
=
(
방
(
"
)
-
Se
"
ds
=
화
e
"
말
sC
=
xe
체
-
S
5
es
"
da
=
xe
-
(
Ses
"
dx
)
U
=
5
K
duzsdx
dn
:
da
.
x
북
Seda
=
xe
행
-
화
Sda
=
x
-
말
s
Sed
da
=
x
중
-
글
(
entc
)
=
김
xex
-
5
e
ㆍ
+
C
2
=
SEoseEu
38
dy
∅
U
=
8
c
=
S
cos
4
생
]
du
duz
8
dc
U
2
=
Ih
dy
=
dx
.
=
☆
S
cos
4
Eu
)
du
→
duz
=
dn
=
⑤
Sco
(
u
)
)
'
du
호
daz
=
du
=
δ
fl
(
tcos
?
]
e
du
.
@
.
(
+
by
]
고
=
융
(
olastctScoscusl
du
,
)
+
f
4
durtfssand
=
방호
S
(
tc
0
s
)
"
'
(
a
+
미
l
(
aHsn
)
catans
=
1
oS
[
(
Ie
cos
(
az
3
]
]
dar
=
a
른
a
점
+
apbtazp
=
융
(
화
luatCt
호
sin
(
us
)
+
c
]
]
+
S
4
dustf
cosr
duz
)
=
azt
zabtakb
2
=
6
(
화
(
ust
+
호
(
sin
(
us
)
tc
)
]
t
*
µ
2
+
C
+
fcos
쁠
danc
)
=
oS
[
π
4
t
4
s
)
+
JIosCuz
)
dus
한
별
(
)
=
융
(
(
uzt
c
+
*
(
sin
(
u
3
)
tc
)
)
++
ct
호
sinc
)
t
)
:
홍
(
S
화없
.
.
.
다있
dm
+
s
omiaur
+
5
쁜
.
)
여뿐
-
송
(
름
+
δ
금
+
이뉴
+
채약
)
tC
.
=
융
(
S
4
daz
+
(
*
[
*
S
(
t
cos
(
u
)
duz
)
+
Sco
뻐
dua
)
=
융
(
3
o
tin
(
u
)
.
tsin
)
+
c
=
융
(
Sedut
(
ofl
t
cos
[
2
uz
)
dus
)
+
f
ose
duz
)
=
③
룹
+
in
(
s
6
+
sin
(
16
월
tC
합합다이없
.
다
.
하에이아
)
이끌
)
이쁜하
.
없
*
에쁜
)
*
다지
.
=
름
+
바채임등개했에
U
