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int(0)^(1)(dx)/(sqrt(4-x^2))=....

`int_(0)^(1)(dx)/(sqrt(4-x^2))=`.

A

`(pi)/(2)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(pi)/(3)`.

Text Solution

Verified by Experts

The correct Answer is:
C
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PREMIERS PUBLISHERS-APPLICATIONS OF INTEGRATION-PROBLEMS FOR PRACTICE (CHOOSE THE CORRECT ANSWER) :
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  2. The volume of the solids obtained by revolving the area of the ellipse...

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  3. int(0)^(1)(dx)/(sqrt(4-x^2))=.

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  4. Evaluate int(0)^(1) (sin^(-1)x)/(sqrt(1-x^(2)))dx.

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  5. int(0)^(prop) e^(-3x)x^(4)dx=.

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  6. Find the volume of the solid of revolution when the region bounded by ...

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  7. int(105)^(105)(x^3+4x)dx is :

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  8. int(0)^(1)[2x]dx where [] is the greatest integer function :

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  9. int(-(pi)/(2))^((pi)/(2))(sin^3xdx)/(1+cosx)=.

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  10. int(0)^((pi)/(2))(dx)/(1+sqrt(tanx)) is :

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  11. int(0)^((pi)/(2))sin^5 xdx=.

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  12. int(0)^(oo) e^(-mx) x^(7) dx is

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  13. int(0)^((pi)/(2)) ( sin x - cos x )/( 1+ sin x cos x ) dx = "............

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  14. int(0)^((pi)/(2)) ( sin x - cos x )/( 1+ sin x cos x ) dx = "............

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  15. the volume generated when the region bounded by y=x, y=1, x=0, is rota...

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  16. The area bounded by the parabola x^2=y and is latus rectum is :

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  17. int(0)^(prop) x^(6) e^(-(x)/(2))dx is :

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  18. The volume of solid obtained by revolving (x^2)/(9)+(y^2)/(16)=1 about...

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  19. int(0)^((pi)/( 4)) cos^(3) 2x dx = "….........."

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  20. The value of int(0)^(pi) sin^(4) x dx is

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