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The area bounded by y = -x^(2) + 1 and t...

The area bounded by `y = -x^(2) + 1` and the x-axis is

A

`(1)/(3)`

B

`(2)/(3)`

C

`(4)/(3)`

D

`(8)/(3)`

Text Solution

Verified by Experts

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

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  2. The area bounded by y = x^(2) , x + y = 2 is

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  3. The area of the region bounded by the function f(x) = x^(3) , the x-ax...

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  4. The area of the region bounded by the x-axis , the function y =-x^(2) ...

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  5. The area of the region bounded by y = x^(2) and y = 4x , for x between...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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