Home
Class 12
MATHS
The area bounded by the curves y=x(x-3)^...

The area bounded by the curves `y=x(x-3)^2a n dy=x` is________ (in sq. units)

Text Solution

Verified by Experts

The correct Answer is:
8

`"Required area "=2int_(0)^(2)(x(x-3)^(2)-x)_dx=8` sq. units
Promotional Banner

Topper's Solved these Questions

  • AREA

    CENGAGE ENGLISH|Exercise Archives|10 Videos
  • AREA

    CENGAGE ENGLISH|Exercise Single Correct Answer Type|30 Videos
  • AREA

    CENGAGE ENGLISH|Exercise Matrix Match Type|5 Videos
  • APPLICATIONS OF DERIVATIVES

    CENGAGE ENGLISH|Exercise Comprehension Type|5 Videos
  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise Matrix|4 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curves y=x,y=x^(3) is

Find the area bounded by the curves y=xa n dy=x^3dot

Area bounded by the curves y=x^2 - 1 and x+y=3 is:

The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b) 2 sq. units 2sqrt(2) sq. units (d) 4 sq. units

The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b) 2 sq. units 2sqrt(2) sq. units (d) 4 sq. units

The area bounded by the curve y=3/|x| and y+|2-x|=2 is

The area bounded between curves y^2 = x and y= |x|

Find the area bounded by the curves y=6x-x^2a n dy=x^2-2xdot

The area bounded by the curve y=4x-x^2 and the x -axis is:

The area bounded by the curve y=4x-x^2 and x-axis is (A) 30/7 sq. units (B) 31/7 sq. units (C) 32/3 sq. units (D) 34/3 sq. units

CENGAGE ENGLISH-AREA-Numerical Value Type
  1. The area enclosed by the curve c : y=xsqrt(9-x^2) (xgeq0) and the x-ax...

    Text Solution

    |

  2. Let S be the area bounded by the curve y=sinx(0lt=xlt=pi) and the x-ax...

    Text Solution

    |

  3. Let C be a curve passing through M(2,2) such that the slope of the tan...

    Text Solution

    |

  4. The area enclosed by f(x)=12+ax+-x^(2) coordinates axes and the ordina...

    Text Solution

    |

  5. If the area bounded by the curve f(x)=x^(1//3)(x-1) and the x-axis is ...

    Text Solution

    |

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

    Text Solution

    |

  7. If the area enclosed by the curve y=sqrt(x) and x=-sqrt(y) , the circl...

    Text Solution

    |

  8. The value of a(agt0) for which the area bounded by the curves y=(x)/(6...

    Text Solution

    |

  9. Area bounded by the curve [|x|] + [|y|] = 3, where [.] denotes the gre...

    Text Solution

    |

  10. The area bounded by the curves y=x(x-3)^2a n dy=x is (in sq. units)

    Text Solution

    |

  11. If the area of the region {(x , y):0lt=ylt=x^2+1,0lt=ylt=x+1,0lt=xlt=2...

    Text Solution

    |

  12. If S is the sum of possible values of c for which the area of the figu...

    Text Solution

    |

  13. If A is the area bounded by the curves y=sqrt(1-x^2) and y=x^3-x , the...

    Text Solution

    |

  14. Consider two curves C1: y=1/x a n dC2: y=1nx on the x y plane. Let D1 ...

    Text Solution

    |

  15. If ' a^(prime)(a >0) is the value of parameter for each of which the a...

    Text Solution

    |

  16. If S is the sum of cubes of possible value of c for which the area of ...

    Text Solution

    |

  17. For a point P in the plane, let d1(P)a n dd2(P) be the distances of th...

    Text Solution

    |

  18. A farmer F1 has a land in the shape of a triangle with vertices at ...

    Text Solution

    |