Quiz #1
2
1. 2x 2 e x
x2
2.
1
x 3 3x
3.
x2 4
x 2
2x 3
1
3
dx
dx
ln x 3
8 ln x
10
3
x
6.
x
3 x
7.
x 5
1
dx
2x 3
2
3 ln x 2 2 ln x
4x
dx
x2
C
C
11
C
7
1
16
6
2x 1
3
3
2
4
ln x
dx
1
2
2x
x 1
7
7
4
C
C
sin 3x
1 5 dx
x
2x 3
3x
3 x
11
5.
2
2
4
3
4. 4 cos 3x dx
8.
ex
dx
1
3
ln x
C
ln 3 x
3
8
ln 2 x
9
2
ln x
Quiz #2
x2; y
1. y
x, x
4 leads to
y
4
x2
1
27
2
x dx
20
15
10
5
0
0
2.
y
2
y
2
cos
3.
2 t
y
sin
0
p |0
2 cos p
y
2
5
4
y
2
2 t
y
sin x
2 t
y
p dt use u
y
cos x dx
y
2
cos
cos p
1
2
y
p, du
p
2
3
4
x
dt
y
2
cos p
cos cos p
sin sin p
2 2
4
y
1.0
0.5
0.0
1
2
3
4
x
-0.5
-1.0
4. 2
1
0
1
x 2 dx
4
3
or
1
y
1
y
2
1
0
1
y dy
4
3
cos p
y
2
y
1.5
1.0
0.5
-1.5 -1.0 -0.5 0.0 0.5 1.0 1.5
x
5. y
x2
|x|, y
2
2
2
0
x
x2
20
3
2 dx
y
3
2
1
-3
-2
-1
1
-1
-2
-3
Quiz #3
1. 2
2. 2
3. x
a
2
0
1
0
2
x 3
e
1
ey 3
y
1
4
dx
1
y dy
2
a3
2
1
2
e
4
2
3
x
y
2.0
1.5
1.0
0.5
0.0
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
x
Use only half of the circle to rotate around y axis, otherwise you get twice the volume of the
solid.
2
1
0
y
1
2
2
4
3
dy
Quiz #4
1
1. we know
3
4
0
0
27
4
24xdx
4
2. 9800 425
12ft-lb, so k
k
y y 2 dy
200 704
3
210, 180
Quiz #5
1.
2.
3
1
2
1
tan
ln x
x3
2
1
dx
1
x
24, and
ft-lb
5
0
1
2
kxdx
dx
3
16
1
2
1
8
ln 2
ln 2 2
1
4
1
6
1
8
ln 2
3
10 5 J

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