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the volume generated when the region bou...

the volume generated when the region bounded by `y=x, y=1, x=0, is rotated about y-axis is …..

A

`(pi)/(4)`

B

`(pi)/(2)`

C

`(pi)/(3)`

D

`2(pi)/(3)`.

Text Solution

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The correct Answer is:
C
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PREMIERS PUBLISHERS-APPLICATIONS OF INTEGRATION-PROBLEMS FOR PRACTICE (CHOOSE THE CORRECT ANSWER) :
  1. int(0)^((pi)/(2)) ( sin x - cos x )/( 1+ sin x cos x ) dx = "............

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

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

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

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

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

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

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

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  9. int(0)^((pi)/(2)) e^(2x) cos xdx is :

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  10. int(0)^((3)/(2)) sqrt(9-4x^2)dx=.

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  11. int(0)^((pi)/(2)) sin^7 xdx is :

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  12. The area of the region bounded by y=x^2-5x+4,x=2,x=3 and the x axis is...

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  13. Find the area of the region bounded by x^2=36y y axis y=2 and y=4.

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  14. Find the common area of x^2=y and y^2 =x.

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  15. int(-2)^(2)(2-x)^2dx is :

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  16. The volume of the solid formed by revolving the area of the circle x^2...

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  17. The volume generated by the region bounded by the curve y=sqrt(x) and ...

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  18. The volume generated by rotating the triangle with vertices (0,0),(4,0...

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  19. The area bounded by y=cos x -sin x between x=0 and x=pi is :

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  20. The volume of solid obtained by revolving the curve y=sec x between x=...

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