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The area of the region bounded by the cu...

The area of the region bounded by the curves: `y=x^3`, `y=1/x`, x=2 is

A

`4-log_e2`

B

`1/4+log_e2`

C

`3-log_e2`

D

`15/4-log_e2`

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. The area of the region bounded by the curves: y=x^2 and x=y^2 is:

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  2. The area of the region bounded by the curves: y=x^2 and x=y^2 is:

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  3. The area of the region bounded by the curves: y=x^3, y=1/x, x=2 is

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  4. The area of the plane region bounded by the curves x+2y^(2)= and x+3y^...

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  5. The area of the region bounded by the parabola (y-2)^(2)=x-1, the tang...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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