Home
Class 12
MATHS
If f(x) satisfies the condition for Roll...

If f(x) satisfies the condition for Rolle's heorem on [3,5] then `underset(3) overset(5)int f(x)` dx equals

A

2

B

-1

C

0

D

`-4/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

If f(x) satisfies the condition for Rolle's heorem on [3,5] then int_(3)^(5) f(x) dx equals

If f(x) satisfies the condition of Rollel's theorem in [1,2], then int_(1)^(2)f'(x)dx is equal to (a) 1 (b) 3 (c) 0 (d) none of these

If y=f(x) satisfies has conditions of Rolle's theorem in [2, 6], then int_(2)^(6)f'(x)dx is equal to

If f(x)=x^(3)+bx^(2)+ax satisfies the conditions on Rolle's theorem on [1,3] with c=2+(1)/(sqrt(3))

The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle's theorem in (-3,0). The value of c, is

If f(x) satisfying the conditions of Rolle's theorem in [1,2] and f(x) is continuous in [1,2] then int_(1)^(2) f'(x) dx =

The function f(x)=x^(3)-6x^(2)+ax+b satisfy the conditions of Rolle's theorem in [1,3] .The values of a and b are

if f (x) satisfies condition in Rolle's theorem then show that between two consecutive zeros of f(x) there lies at most one zero of f(x).

The polynomial f(x)=x^3-bx^2+cx-4 satisfies the conditions of Rolle's theorem for x in [1,2] , f'(4/3) = 0 the order pair (b,c) is

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING
  1. What is the maximum value o fx y subject to the condition x+y=8 ?

    Text Solution

    |

  2. If f(x)=2x^(3)-21x^(2)+36x-30, then which one of the following is corr...

    Text Solution

    |

  3. The number of values of x where the function f(x)=cosx+cos(sqrt(2)x) a...

    Text Solution

    |

  4. The maximum and minimum values of x^3-18x^2+96x in interval (0,9) are

    Text Solution

    |

  5. If PQ and PR the two sides of a triangle, then the angle between them ...

    Text Solution

    |

  6. The maximum and minimum values of the function |sin 4x+3| are

    Text Solution

    |

  7. The function f(x)=|pr-9|+r|x|,x in (-infty,infty) where pgt0,qgt0,rgt0...

    Text Solution

    |

  8. The minimum value of function f(x)=3x^4-8x^3+12x^2-48x+25 on [0,3] is ...

    Text Solution

    |

  9. The minimum values of (x-alpha)(x-beta) is

    Text Solution

    |

  10. Divide 20 into two parts such that the product of the cube of one and ...

    Text Solution

    |

  11. One maximum point of sin^pxcos^qx is

    Text Solution

    |

  12. A wire of length a is cut into two parts which are bent, respectively,...

    Text Solution

    |

  13. The length of the perimeter of a sector of a circle is 20 cm, the maxi...

    Text Solution

    |

  14. A running track of 440 ft is to be laid out enclosing a football field...

    Text Solution

    |

  15. A box is to be made from a sheet 12times12 sq.cm, by cutting equals sq...

    Text Solution

    |

  16. The maximum height is reached is 5s by a stone thrown vertically upwar...

    Text Solution

    |

  17. A man of height 2m walks directly away from a lamp of height 5 m on a ...

    Text Solution

    |

  18. A square plate is contracting at the uniform rate of 2 cm^(2)//sec. If...

    Text Solution

    |

  19. IF A+B=pi/2, the maximum value of cos Acos B is

    Text Solution

    |

  20. If f(x) satisfies the condition for Rolle's heorem on [3,5] then under...

    Text Solution

    |