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Find the area of the region in the first...

Find the area of the region in the first quadrant method enclosed by the x-axis, the line y=x and the circle `x^2+y^2=32`.

A

`16pi sq. units`

B

`4pi sq. units`

C

`32 pi sq. units`

D

`24 pi sq. units`

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The correct Answer is:
B
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. Find the area bounded by the curve x^(2)=4y and the line x=4y-2.

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  2. The area of the region bounded by the curve y=sqrt(16-x^2) and x -axis...

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  3. Find the area of the region in the first quadrant method enclosed by t...

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  4. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

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  5. The area of the region bounded by parabola y^(2) = x and the line 2y =...

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  6. The area of the region bounded by the curve y=sin x between the ordina...

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  7. Area of the region bounded by the curve y=x+1 and the lines x=2 and x ...

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  8. The area of the region bounded by the curve x = 2y+3 and the y-lines ...

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  9. int(0)^(pi//2)(sin^(3//2)x)/(sin^(3//2)x+cos^(3//2)x)dx=

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  10. int(pi//4)^(pi//2)cot x dx=

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  11. int0^(1/2) (dx)/(sqrt(1-x^(2))) =

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  12. int(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =

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  13. int0^(pi//2)(dx)/(1 + tanx)=

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  14. underset(0)overset(a)int sqrt(a^(2) - x^(2)) dx =

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  15. int0^(pi//2) log(tan x) dx is :

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  16. Given int0^(oo) (x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2))(x^(2)+c^(2))) = ...

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  17. int0^(pi) (dx)/(a+b cos x) =

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  18. int0^(1) tan^(-1) x dx =

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  19. The value of the integral int0^1 sqrt((1 - x)/(1 + x))dx is :

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  20. Which one of the following is not correct?

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