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Find the area of the region: (i) {(x,y...

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

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The correct Answer is:
`(i) 1/6 (ii) 1/3` (sq. units).
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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS -EXERCISE 8 (B)
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  7. Find the area of the region bounded by the parabola x ^(2) =y, the lin...

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

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

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

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

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

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

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

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

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

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

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

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

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

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