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The area of the region enclosed by the c...

The area of the region enclosed by the curve `y=x, x=e,y=1/x` and the positive X-axis is

A

`1/2` square units

B

1 square units

C

`3/2` square units

D

`5/2` square units

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. The area of the region bounded by the parabola (y-2)^(2)=x-1, the tang...

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  2. The area bounded by the curves y=cos x and y=sin x between the ordinat...

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  3. The area of the region enclosed by the curve y=x, x=e,y=1/x and the po...

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  4. If the straight line x=b divide the area enclosed by y=(1-x)^(2),y=0 a...

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  5. Let f:[-1,2] to [0,oo] be a continuous function such that f(x)=f(1-x),...

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  6. The area bounded by the curves y^2=4x and x^2=4y is :

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  7. The area bounded between the parabola x^(2)=y/4 and x^(2)=9y and the s...

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  8. The area (in sqaure units) bounded by the curves: y=sqrtx, 2y-x+3=0, x...

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  9. The area enclosed by the curves: y=sin x+ cos x and y=cos x- sin x| ov...

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  10. The area of the region described by A={(x,y):x^(2)+y^(2)le1 and y^(2)l...

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  11. The area (in sq. units) of the region described by {x,y):y^(2)le2x and...

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  12. The area (in sq. units) of the region {(x,y):y^(2)ge2x and x^(2)+y^(2)...

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  13. Using integration, find the area of the circle x^(2)+y^(2)=4

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  14. Find the area bounded by y=x, the x-axis and the lines x=-1 and x=2.

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  15. Calculate the area undder the curve : y=2sqrtx between the ordinates x...

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  16. Area of ellipse x^2/a^2 + y^2/b^2 = 1, a > b is :

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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. Using integration find the area of triangle whose vertices are (-1,1...

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

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  20. Calculate the area of the region enclosed between the circles : x^2 + ...

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