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find the area of region founded by the circle `x^(2)+y^(2)=1` and line `x+y=1`

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Using integration, find the area of the region bounded by the circle x^2 + y^2 = 16 and line y=x in the first quadrant.

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

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  2. (b) Find the area of the region bounded by the circle x^2+y^2=16 and t...

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  3. find the area of region founded by the circle x^(2)+y^(2)=1 and line x...

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  4. Make a rough sketch of the region given below and find its area, using...

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  5. Calculate the area enclosed in the region: (iii) {(x,y):x^2+y^2le16,x^...

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  6. Calculate the area enclosed in the region: (iv) {(x,y):y^2le6ax,x^2+y^...

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  7. Draw the rough sketch and find the area of the region: (i){(x,y):x^2 <...

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

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  9. Find the area of the region {(x,y) : 0leylex^2 + 1, 0leylex+1, 0lexle2...

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  10. Draw the rough sketch and find the area of the region: (iv){(x,y):x^2+...

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  11. (i) Find the area of the region given by: {(x,y):x^2leyle|x|}.

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  12. Find the area bounded by curves {(x,y): ygex^2 and y = |x|}

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  13. (iii) Find the area of the region bounded by the parabola y=x^2 and y=...

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  14. Using integration, find the area of the region bounded by the followin...

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  15. Using integration, find the area of the region bounded by the followin...

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  16. Find the area of region bounded by the curve y^(2)=x and the lines x=1...

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  17. Find the area of the region bounded by y^2 = 9x, x=2, x=4 and the x-a...

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  18. Find the area of the region bounded by x^2 = 4y, y=2, y=4 and the y-ax...

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  19. Using integration find the area of region bounded by the ellipse x^2/1...

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  20. Find the area of region bounded by the ellipse x^2/4 + y^2/9 = 1

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