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Find the area bounded by the curve x^2 =...

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

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. Find the area of the region founded by the curve y=x^(2) and the line ...

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

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

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

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  5. Find the area of the smaller region bounded by the (ii) x^2/16+y^2/9=1...

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

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  7. Draw the rough sketch and find the area of the region : {(x, y) : 16 x...

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  8. Draw the rough sketch and find the area of region bounded between the ...

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  9. Draw the rough sketch and find the area of region bounded between the ...

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  10. Draw the rough sketch and find the area of region bounded between the ...

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  11. (b) Find the ratio in which the area bounded by the curves y^2=12x and...

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  12. Find the area of the region bounded between parabolas y^2 = x and the ...

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  13. Find the area of region founded by two parabolas : y^(2)=ax and x^(2...

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  14. Find the area of region founded by two parabolas : y^(2)=9/4x and x^...

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  15. Calculate the area of the region enclosed between the circles : x^2 + ...

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  16. Calculate the area of the region enclosed between the circles : x^2 + ...

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  17. Calculate the area of the region enclosed between the circles: (iii) x...

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  18. Calculate the area of the region enclosed between the circles: (iv) (x...

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  19. (i) Show that the areas under the curves f(x)=cos^2x and f(x)=sin^2x b...

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  20. (ii) Compare the areas under the curves y=cos^2x and y=sin^2x between ...

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