## Transcribed Text

1.
Find the indefinite integral. (Use C for the constant of integration.) x1/2 dx
2.
Find the indefinite integral. (Use C for the constant of integration.) 6 udu
3.
Find the indefinite integral. (Use C for the constant of integration.)
dw w8
4.
Find the indefinite integral. (Use C for the constant of integration.)
8dz z7
5.
Find the indefinite integral. (Use C for the constant of integration.) 8x7 dx
6.
Find the indefinite integral. (Use C for the constant of integration.) (16x3 − 3x2 + 6) dx
7.
Find the indefinite integral. (Use C for the constant of integration.)
6+2 dz z4 z
8.
Find the indefinite integral. (Use C for the constant of integration.) (1 + 20w) w dw
9.
Find the indefinite integral. (Use C for the constant of integration.)
18x6−18x3+x dx x
10.
Find the indefinite integral. (Use C for the constant of integration.) (r − 5)(r + 5) dr
11.
Find the indefinite integral. (Use C for the constant of integration.)
x2 − 25 dx x+5
12.
A company's marginal cost function is MC = 15x3/2 − 25x2/3 + 1, where x is the number of units, and fixed costs are $7000. Find the cost function, C(x).
C(x) =
13.
A company's marginal revenue function is MR = 130 − 16x1/3, where x is the number of units. Find the revenue function. (Evaluate C so that revenue is zero when nothing is produced.)
R(x) =
14.
Find the indefinite integral. (Use C for the constant of integration.)
24x+71 dx x
1.
Find the indefinite integral. (Use C for the constant of integration.) e5x dx
2.
Find the indefinite integral. (Use C for the constant of integration.) ex/6 dx
3.
Find the indefinite integral. (Use C for the constant of integration.) e−4y dy
4.
Find the indefinite integral. (Use C for the constant of integration.) 10e(2/3)x dx
5.
Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.)
3 dv 2v
6.
Find the indefinite integral. (Use C for the constant of integration.) (4e2x − 2x) dx
7.
Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.)
e3x−3x dx
8.
Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.)
(x4 + x + 1 + x−1 + x−2) dx
9.
Find the indefinite integral. (Use C for the constant of integration.) (6e0.01t − 8e0.02t) dt
10.
Find the indefinite integral. (Use C for the constant of integration.)
ew − w dw 9
11.
Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.)
xex + 7 dx x
12.
Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.)
−8x−1 dx
13.
Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.)
8 dx x
1.
Use a definite integral to find the area under the curve between the given x-values. f(x) = x2 from x = 0 to x = 4
square units
Make a sketch of the curve showing the region.
2. –/2 points My Notes Ask Your Teacher
Use a definite integral to find the area under the curve between the given x-values. f(x) = 4 − x from x = 0 to x = 4
square units
Make a sketch of the curve showing the region.
3.
Use a definite integral to find the area under the curve between the given x-values. f(x) = 1x from x = 1 to x = 3
square units
Make a sketch of the curve showing the region.
4.
Use a definite integral to find the area under the curve between the given x-values. f(x) = 4x3 from x = 1 to x = 3
5.
Use a definite integral to find the area under the curve between the given x-values. f(x) = 1 from x = 16 to x = 25
square units
x
6.
Use a definite integral to find the area under the curve between the given x-values. f(x) = 8 − 43 x from x = 0 to x = 8
square units
square units
7. s
Use a definite integral to find the area under the curve between the given x-values. f(x) = 6ex from x = 0 to x = ln 5
8.
Evaluate the definite integral.
5 1 dy 1 y2
9.
Evaluate the definite integral.
e dx x
1
square units
10.
Evaluate the definite integral.
1
12e3x dx 0

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