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Find the area of the region in the first...

Find the area of the region in the first quadrant enclosed by the x-axis, the line `y = x`, and the circle `x^2+y^2 = 32`.

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PRADEEP PUBLICATION-APPLICATIONS OF INTEGRALS-EXERCISE
  1. Sketch the region bounded by the curve y= 2x-x^2 and the x-axis and fi...

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  2. Find the area bounded by curves (x-1)^2+y^2=1 and x^2+y^2=1.

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  3. Find the area of the region in the first quadrant enclosed by the x-ax...

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  4. Find the smaller of the two areas enclosed by the curves x^2+y^2 = 4 a...

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  5. Using integration , find the area of the region given below. {(x,y): 0...

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  6. Find the area enclosed by the parabola 4y = 3x^2 and the line 2y = 3x+...

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  7. Find the area of the region bounded by the curve y=x^(2)+2,y=x,x=0 and...

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

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  9. Draw a rough sketch of the curve y^2= 4a^2(x-1) and find the area by c...

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  10. Find the area lying in the first quadrant bounded by the curves x^2+y^...

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  11. Find the area of the region {(x,y):y^2 le 4 x, 4x^2+4y^2 le 9}.

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  12. Find the area lying above x-axis and included between the circle x^2+y...

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  13. Find the area included between the curves y = x^2 and x^2+4(y-1) = ...

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  14. Find the area of the region bounded by the curves y=6x-x^2 and y=x^2-2...

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  15. Find the area bounded by the curve y^(2)=2y-x and the Y-axis.

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  16. Find the area of the regionn bounded by y = -1, y = 2, x= y^3 and x= 0...

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  17. Find the area enclosed between the parabola y^2 = 4ax and the line y =...

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  18. Using integration, find the area of the region: {(x,y): |x-1|leylesqrt...

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  19. Find the area bounded by the ellipse x^2/a^2 + y^2/b^2 = 1 and the ord...

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

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