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Using integration calculate the area of ...

Using integration calculate the area of the region bounded by the two parabolas `y=x^2\ ` and `x=y^2`

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The correct Answer is:
`(i) 1/3 (ii) (a ^(3))/(3) (iii) 4` (sq. units).
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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS -EXERCISE 8 (B)
  1. Find the area of the region: (i) {(x,y): x ^(2) le y le x} (ii) { ...

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  2. Consider the fractions: f (x) = |x|-1 and g (x) =1- |x|. (a) Find ...

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

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  4. Find the ara of the region bounded by : (i) the parabola y = x^(2) a...

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  5. Find the area of the region bounded by the parabola x ^(2) =y, the lin...

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

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  7. Draw a rough sketch of the region enclosed between the curve y ^(2) = ...

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  8. Find the area of the region bounded by the curve y=x^2and the line y ...

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  9. Find the area enclosed between the straight line y = x + 2 and the cu...

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  10. Find the area of the smaller region bounded by the ellipse (x^2)/(a^2...

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  11. Draw the rough sketch and find the area of the region: {(x,y): 4x^(...

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  12. (a) Draw the rough sketch and find the area of the region included bet...

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  13. Using integration calculate the area of the region bounded by the t...

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  14. Using integration, find the area of the region enclosed between the...

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  15. Show that the areas under the curves f (x) = cos ^(2) x and f (x) = si...

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  16. Find the area of that part of the circle "x"^2+"\ y"^2=16 which is ...

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  17. Calculate the area enclosed in the region (i) {(x,y):x ^(2) + y ^(2)...

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  18. Find the area of region {(x,y):0leylex^(2)+1, 0 le y le x+ 1, 0 le x ...

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  19. Find the area of the region given by : {(x,y): x ^(2) le y le |x|}. ...

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  20. Using integration, find the area of the region bounded by the followin...

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