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Draw a rough sketch of the region `{(x , y): y^2lt=5x ,\ 5x^2+5y^2lt=36}` and find the area enclosed by the region using method of integration

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RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Find the area of the region included between the parabola y^2=x and...

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  2. Draw a rough sketch of the region {(x,y): y^2 le 3x,3x^2 + 3y^2 le16 }...

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  3. Draw a rough sketch of the region {(x , y): y^2lt=5x ,\ 5x^2+5y^2lt=36...

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  4. Draw a rough sketch and find the area of the region bounded by the par...

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  5. Find the area included between the parabolas y^2=4a x\ a n d\ x^2=4b y...

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  6. Find the area of the region in the first quadrant enclosed by x-axis,...

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  7. Find the area of the region bounded by y=sqrtx ,\ x=2y+3 in the first ...

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  8. Find the area common to the circle x^2+y^2=16a^2 and the parabola y^2=...

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  9. Find the area, lying above the x=axis and included between the circle ...

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  10. Find the area enclosed by the parabolas y=5x^2a n d\ y=2x^2+9.

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  11. The area common to the parabolas y=2x^2 and y=x^2+4 (in square units) ...

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

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  13. Find the area of the region in the first quadrant enclosed by x-axis, ...

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  14. Find the area of the region bounded by parabola y^2=2x+1\ and the lin...

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  15. Find the area of the region bounded by the curves y=x-1 & (y-1)^2=4(x+...

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  16. Find the area bounded by the parabola y = 2-x^2 and the straight line...

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  17. Using the method of integration, find the area of the region bounded b...

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  18. Sketch the region bounded by the curves y=x^2+2,\ y=x ,\ x=0\ a n d...

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  19. Find the area bounded by the curves x = y^(2) and x = 3-2y^(2).

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  20. Using integration, find the area of the triangle ABC, coordinates o...

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