Exercises - Area

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• 1. Find the area of the finite region bounded by the curves

  

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• 2. Find the area of the finite region bounded by the curves

  

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• 3. Find the area of the region between the x-axis and the graph of

  

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• 4. Find the area of the region under the graph of

  

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• 5. Find the area of the finite region bounded by the curves

  

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• 6. Find the area of the region under the graph of

  

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• 7. Find the area of the finite region bounded by the curves

  

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• 8. Find the area of the following region:

  

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• 9. Find the area of the finite region bounded by the curve

  

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• 10. Find the area of the ellipse

  

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• 11. Find the area of the region under the curve given by the parametric equations

  

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• 12. Find the area of the region determined by the following curve in polar coordinates:

  

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• 13. Find the area of the region determined by the following curve in polar coordinates:

  

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• 14. Find the area of the region determined by the following curve in polar coordinates:

  

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• 15. Find the area of the cardioid given, for a > 0 by the following equation in polar coordinates:

  

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