Home
Class 12
MATHS
The area of the region bounded by the cu...

The area of the region bounded by the curve `y=x^(3)` , and the lines , y=8 and x=0, is

A

16

B

8

C

10

D

12

Text Solution

Verified by Experts

The correct Answer is:
D
Required area `=underset(0)overset(8)int x dy`

`=underset(0)overset(8)y^(1//4) dy`
`=(3)/(4)[y^(4//3)]_(0)^(8)`
`=(3)/(4)xx(8^(4//3)-0)=12`
Promotional Banner

Topper's Solved these Questions

  • AREAS OF BOUNDED REGIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|61 Videos

  • AREAS OF BOUNDED REGIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • ALGEBRAIC INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|39 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curves y=x^3 and the lines y=x+6 and y=0.

The area of the region bounded by the curve x=2y+3 and the lines y=1, y=-1 is

Find the area of the region bounded by the curve y=x^3 and the lines y = x + 6 and y =0.

The area of the region bounded by the curve y=e^(x) and lines x=0 and y=e is

The area of the region bounded by the curve y=e^(x) and lines x=0 and y=e is

The area of the region bounded by the curve y = x + 1 and the lines x=2, x=3, is

Find the area of the region bounded by the curve y^2=4x and the line x = 3 .

The area of the region bounded by the curve y=x^(3) , X-axis and the ordinates x = 1, x = 4 is

Find the area of the region bounded by the curve y=x^2 and the line y" "=" "4 .

The area of the region bounded by the curves y = xe^x, y = e^x and the lines x = +-1, is equal to

OBJECTIVE RD SHARMA ENGLISH-AREAS OF BOUNDED REGIONS-Chapter Test
  1. The area of the region bounded by the curve y=x^(3) , and the lines , ...

    Text Solution

    |

  2. Area bounded by the curves y=|x-1|, y=0 and |x|=2

    Text Solution

    |

  3. The area inside the parabola 5x^2-y=0 but outside the parabola 2x^2-y+...

    Text Solution

    |

  4. The area enclosed between the curve y^(2)(2a-x)=x^(3) and the line x=2...

    Text Solution

    |

  5. Area bounded by the curve x y^2=a^2(a-x) and the y-axis is (pia^2)/2s ...

    Text Solution

    |

  6. The area of the loop of the curve ay^(2)=x^(2)(a-x) is

    Text Solution

    |

  7. find the area common to the circle x^2y^2=16 a^2 and the parabola y^2=...

    Text Solution

    |

  8. The line y=m x bisects the area enclosed by the curve y=1+4x-x^2 and t...

    Text Solution

    |

  9. The area between the curve y=xsin x and x-axis where o le x le 2 pi ,...

    Text Solution

    |

  10. The area bounded by the curves y=e^(x),y=e^(-x) and y=2, is

    Text Solution

    |

  11. The area enclosed by the curves x=a sin^(3)t and y= a cos^(2)t is equa...

    Text Solution

    |

  12. If A(1) is the area enclosed by the curve xy=1, x-axis and the ordinat...

    Text Solution

    |

  13. If area bounded by the curve y^(2)=4ax and y=mx is a^(2)//3 , then the...

    Text Solution

    |

  14. The value of a for which the area between the curves y^(2) = 4ax and x...

    Text Solution

    |

  15. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

    Text Solution

    |

  16. The area bounded by the curve y = sin2x, axis and y=1, is

    Text Solution

    |

  17. The area between the curve x=-2y^(2)and x=1-3y^(2), is

    Text Solution

    |

  18. The area between the curves y=cosx, x-axis and the line y=x+1, is

    Text Solution

    |

  19. If the area bounded by the curve y=x^2+1 and the tangents to it drawn ...

    Text Solution

    |

  20. The positive value of the parmeter 'a' for which the area of the figur...

    Text Solution

    |

  21. The area in square units bounded by the curves y=x^(3),y=x^(2) and the...

    Text Solution

    |