# 1. Find the indefinite integral. (Use C for the constant of i...

## 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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