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Sketch the region lying in the first qua...

Sketch the region lying in the first quadrant and bounded by `y=9x^2, x=0,y=1a n dy=4.` Find the area of the region using integration.

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RS AGGARWAL-AREA OF BOUNDED REGIONS -Exercise 17
  1. Using integration, find the area of the region bounded by the line y-1...

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  2. Sketch the region lying in the first quadrant and bounded by y = 4x^2 ...

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  3. Sketch the region lying in the first quadrant and bounded by y=9x^2...

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  4. Find the area of the region enclosed between the two circles x^2 + y^2...

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  5. Sketch the region common to the circle x^2 +y^2=16 and the parabola x...

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  6. Sketch the region common to the cirvle x^2+y^2=25 and the parabola y^...

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

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

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  9. Find by intergraiton the area bounded by the curve y^2 = 4ax and the l...

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  10. Draw a rough sketch of the curve y=x/pi + 2 sin^2 x, and find the area...

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  11. Find the area bounded by the curve y=cos x between x=0 and x=2pi

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  12. Compare the areas under the curves y=cos ^2 x and y= sin ^2x between x...

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  13. Using integration find the area of the triangular region whose side...

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  14. Find the area of the region {(x,y) : x^2 le y le x }

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  15. Examples: Find the area of the region bounded by the curve y^2 = 2y - ...

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  16. Draw a rough sketch of the curves y=sin x and y= cos x as x varies fr...

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  17. Find the area of the bounded by the curve y^2 =2x+1 and the line x-y=1

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  18. Find the area bounded by the curve y=2x-x^2 and the straight line y=-x

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  19. Find the area of the region bounded by the curve (y-1)^2=4(x+1) and th...

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  20. Find the area of the region by the curve y=sqrt(x) and the line y=x

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