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Draw a rough sketch of the following reg...

Draw a rough sketch of the following region and find the area enclosed by the region, using method of integration: `{(x,y):y^2le5x,5x^2+5y^2le36}`.

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. AOBA is the part of the ellipse 9x^2+y^2=36 in the first quadrant such...

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

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  3. Draw a rough sketch of the following region and find the area enclosed...

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  4. Find the area bounded by y=1+2 sin^(2)x,"X-axis", X=0 and x=pi.

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  5. Is the parabola y^2=4x symmetrical about x-axis?

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  6. Is the circle x^2+y^2=r^2 symmetrical about the line y=x?

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  7. Find the area enclosed by the circle x^2+y^2=9.

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  8. Find the area of the semi-portion of the circle x^2+y^2=4

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  9. Find the area of the region bounded by (i) y=x^4, x=1,x=5 and x-axis.

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  10. Area lying in the first quadrant and bounded by the circle x^2 + y^2 =...

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  11. Area of the region bounded by the curve y^2=4x , y-axis and the line y...

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  12. Smaller area enclosed by the circle x^2+y^2 = 4 and the line x + y = ...

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

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  14. Area bounded by the curve y = x^3, the x-axis and the ordinates x = –...

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  15. The area bounded by the curve y = x|x|,x-axis and the ordinates x=-1, ...

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  16. (a) (i)Find the area of the circle x^2+y^2=16, which is exterior to th...

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  17. Find the area enclosed by the circle x^2+y^2=2

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  18. Area of ellipse x^2/a^2 + y^2/b^2 = 1, a > b is :

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  19. The area of the region bounded by the curve y=x^2 and the line y=16 is...

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  20. The area bounded by the y-axis, y = cosx, and y = sinx when 0<x<π/2 is...

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