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Find the area lying in the first quadran...

Find the area lying in the first quadrant bounded by the curves `x^2+y^2-2ax = 0` and `y^2=ax`.

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PRADEEP PUBLICATION-APPLICATIONS OF INTEGRALS-EXERCISE
  1. Sketch the region lying in the first quadrant and bounded by y= 9x^2, ...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Using the method of integration find the area of the region bounded by...

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  15. (a) Using integration, find the area of the region bounded by the tria...

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  16. Prove that the curves y^2 = 4x, x^2 = 4y, divide the area of the squar...

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  17. Compute the area enclosed by the curves y= 2^x and y = log2x between t...

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  18. Compute the area enclosed by the curves y = e^x and y = logex between ...

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  19. Find the area enclosed by the lines y = 0, y= x, x= 1, x=2.

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  20. Compute the area shown shaded in the figure.

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