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Using integration, prove that the area b...

Using integration, prove that the area bounded by : |x|+|y|=1 is 2 sq.units.

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. Sketch the region {(x,y):4x^2+9y^2=36} and find its area using integra...

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  2. Draw a rough sketch of the curves y=sinx and y=cosx as x varies from 0...

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  3. Using integration, prove that the area bounded by : |x|+|y|=1 is 2 sq....

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  4. Using integration, find the area of the region bounded by: (i) (2,0),(...

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  5. Using integration, find the area of the region bounded by: (ii) (1,0),...

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  6. Using integration find the area of region bounded by the triangle wher...

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  7. Using integration, find the area of region of triangle whose vertices ...

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  8. Using integration find the area of regeion bounded by the triangle who...

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  9. Using integration find the area of region bounded by the triangle wher...

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  10. Using integration find the area of region bounded by the triangle wher...

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  11. Using integration find the area of region bounded by the triangle wher...

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  12. (a) Using integration, find the area of the region bounded by the tria...

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  13. (a) Using integration, find the area of the region bounded by the tria...

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  14. Using integration, find the area of the region bounded by the triangle...

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  15. (a) Using integration, find the area of the region bounded by the tria...

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  16. (b) If a triangular field is bounded by the lines x+2y=2, y-x=1 and 2x...

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  17. (b) If a triangular field is bounded by the lines x+2y=2, y-x=1 and 2x...

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  18. Find the area of the region bounded by the line y = 3x+2,the x-axis an...

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  19. Find the area of the region: (i) {(x,y):x^2leylex}.

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  20. Find the area of the region: (ii) {(x,y):x^2leyle|x|}.

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