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Find the area of the smaller region boun...

Find the area of the smaller region bounded by the ellipse `x^2/a^2 + y^2/b^2 = 1` and the line `x/a + y/b = 1`

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. Find the area enclosed by the parabola 4y = 3x^2 and the line 2y = 3x+...

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

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  3. Find the area of the smaller region bounded by the ellipse x^2/a^2 + y...

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  4. Find the area of the region enclosed by the parabola x^2 = y, the line...

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  5. Using the method of integration find the area bounded by the curve |x|...

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

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  7. Using integration, find the area of the triangle ABC, co ordinate of w...

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

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

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

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

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

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

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

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  15. Find the area of the region bounded by the curves x=at^2 and y=2at bet...

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  16. Find the area enclosed by the curve : x=3 cos t, y=2 sin t.

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

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  18. Find the area of the region bounded by the curve y^2 = 4x and the lin...

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

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  20. Draw the diagram to show the area enclosed by the curves: y^2=16x and ...

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