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Exercises 6.1 Find each area bounded by the curves. 1. y = x?, y = 0, and x = 1 3. y = 1 - x, x = 0, and y = 0 5. y = 2 – x2 and y + x = 0 7. y2 = x and x = 4 9. y = x2 and y = x 2. y = x?, y = 0, x = 1, and x = 2 4. y = 2x, y = 0, x = 1, and x = 2 6. y = x2 – 2x and y = 3 8. y2 = 4x, x = 0, y = -1, and y = 4 10. y = 2x2 and y2 = 4x SECTION 6.1 Area Between Curves 11. x = y2 – 2y and y = x 13. y = x3 - x, y = 0, x = -1, and x = 1 15. x = y + 1 and x = 3 - y2 17. y = 4 - 4x2 and y = 1 – x2 19. x = y* and x = 2 - y2 21. y = x2 – 3x – 4 and y = 6 23. x2y = 8, y = x, x = 5, and y = 0 25. y = x(x - 1)(x – 3) and the x-axis 12. y = x, y = 2 - x?, x = 0, and x = 1 14. y) = x, y = 1, and x = -1 16. x = y2 and x = y + 2 18. y = x² and y = 8 - x? 20. x = y2 and x = 4 + 2y - y2 22. y = x2 and y = Vx 24. y = x, x + y = 6, and 2y = x 26. y = x(x + 3)(x - 2) and the x-axis