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- 1. Multiple Choice
Write the integral that would be used to find the area bounded by y = x2 + 1, y = x - 2, x = -2 and x = 2.
- 2. Multiple Choice
Write the integral that would be used to find the area of the region bounded by x = 1, y = √x and y = -x + 6.
- 3. Multiple Choice
Write the integral that would be used to find the area bounded by the graphs of x - y = 2, y = 8 and x = y2/3.
- 4. Multiple Choice
Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.
- 5. Multiple Choice
Find the area of the region bounded by the graphs of y = x2 and y = 4x.
32/3
64/3
32
64
32/5
- 6. Multiple Choice
Find the area of the region bounded by the equations y = x2 + 1 and y = 5.
32/3
64
32
64/3
16
- 7. Multiple Choice
Write the integral that would be used to find the volume of the region bounded by x = -1, x = 2, y = 0 and y = 1/2x² + 2.
- 8. Multiple Choice
Write the integral that would be used to find the volume of the solid obtained by revolving the region bounded by x = y2 - 4, x = 0 and y = 0 about the y-axis.
- 9. Multiple Choice
Write the integral that can be used to find the volume of the solid obtained by revolving the region bounded by x = 3 and x = (25 - y2)1/2 about the y axis.
- 10. Multiple Choice
Write the integral that could be used to find the volume of the solid formed when the region bounded by y = -2x2 + 1 and y = -x2 + 1 is revolved about the x-axis.
- 11. Multiple Choice
Write the integral that would be used to find the volume of the solid formed when the region bounded by y = (x - 2)1/2, the x-axis and x = 11 is revolved about the y-axis.
- 12. Multiple Choice
Write the integral that would be used to find the volume of the solid generated when the region bounded by y = x2 + 1, the x-axis, the y-axis and x = 3 is revolved about the y-axis.
- 13. Multiple Choice
Write the integral that would be used to find the volume of the solid generated when the region bounded by the x-axis, the y-axis and 2x + y = 6 is revolved about the x-axis.
- 14. Multiple Choice
Write the integral that would be used to find the volume of the solid generated when the region bounded by the graphs of the y-axis, x = 9 and y = x3 + 1 is revolved about the x-axis.
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