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The area between the curves y= x^(2) and...

The area between the curves `y= x^(2)` and `y = (2)/(1 + x^(2))` is equal to

A

`pi - (1)/(3)` sq. units

B

`pi - 2` sq. units

C

`pi - (2)/(3)` sq. units

D

`pi + (2)/(3)` sq. units

Text Solution

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The correct Answer is:
C
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AAKASH INSTITUTE-APPLICATION OF INTEGRALS -Assignment Section - A Competition Level Questions
  1. The area of the region bounded by y = x^(2) and y = 4x , for x between...

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  2. The area of the region in first quadrant bounded by the curves y = x^(...

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  3. The area of the region bounded by the curve y = x^(2) - 2 and line y =...

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  4. The area of the region bounded by the curve y = x^(2) and y = x is equ...

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  5. The area bounded by the curve y = sin x , x in [0,2pi] and the x-axis ...

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  6. Find the ratio in which the area bounded by the curves y^2=12 xa n dx^...

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  7. The area between the curve y^(2) = 4x , y - axis and y = -1 and y = 3 ...

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  8. The common area of the curves y = sqrtx and x = sqrty is equal to

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  9. The area of the region bounded by y = |x - 1| and y = 1 is

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  10. If area bounded by the curve x = ay^(2) and y = 1 is equal to

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  11. The area bounded by the curves y = |x| - 1 and y = -|x| +1 is equal to

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  12. The area of the region bounded by the curve y = x^(2) and y = |x| is ...

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  13. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

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  14. The area of the region bounded by the curves y = xe^x, y = e^x and the...

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  15. The area between the curves y= x^(2) and y = (2)/(1 + x^(2)) is equal ...

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  16. The area between the curves y = x^(3) and y = x + |x| is equal to

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  17. Area bounded by the curves y=2^x,y=2x-x^2,x=0 and x=2 is equal to

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  18. For which of the following values of m is the area of the regions boun...

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  19. The area bounded by the curve y = (x - 1)^(2) , y = (x + 1)^(2) and th...

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  20. The smaller area bounded by x^2/16+y^2/9=1 and the line 3x+4y=12 is

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