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Consider the functions: f(x)=|x|-1 and g...

Consider the functions: f(x)=|x|-1 and g(x)=1-|x|. (a) Sketch their graphs and shade the closed region between them

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. Find the area of the region: (i) {(x,y):x^2leylex}.

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

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  3. Consider the functions: f(x)=|x|-1 and g(x)=1-|x|. (a) Sketch their gr...

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  4. Consider the functions: f(x)=|x|-1 and g(x)=1-|x|. (b) Find the area o...

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  5. Using integration, find the area of the region bounded between : (i) t...

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  6. Using integration, find the area of the region bounded between : (ii) ...

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  7. Find the area of the region bounded between parabola y^2 = x and the l...

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  8. Find the area of the region bounded by : (ii) the parabola y^2=x and t...

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  9. Find the area of the region bounded by the curve x^(2)=4y and the stra...

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  10. Find the area of region bounded by The parabola y^(2)=4ax and its ch...

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  11. Find the area of region bounded by The parabola y^(2)=4ax and its la...

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  12. Find the area of the region bounded by the parabola y^2=8x and the la...

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  13. Find the area of the region enclosed by the parabola x^2 = y, the line...

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  14. The area between x = y^2 and x = 4is divided into two equal parts by t...

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  15. Area lying between the curve y^2 = 4x and the line y = 2x is :

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  16. Find the area bounded between the curve y^(2)=4x and the lines x=3

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  17. Find the area of the region founded by the curve y=x^(2) and the line ...

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  18. Find the area enclosed by the straight line y=x+2 and the curve x^(2)=...

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  19. Find the area bounded by the curve x^2 = 4y and the line x=4y-2.

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  20. Find the area of the smaller region bounded by the ellipse x^2/a^2 + y...

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