Home
Class 12
MATHS
Let f(x)=int(1)^(x)t(t^(2)-3t+2)dt,1lexl...

Let `f(x)=int_(1)^(x)t(t^(2)-3t+2)dt,1lexle4`. Then the range of f (x) is

A

`[-(1)/(4),(63)/(4)]`

B

`[-(1)/(4),2]`

C

`[-(1)/(4),(63)/(2)]`

D

none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-II)|15 Videos
  • DEFINITE INTEGRAL

    FIITJEE|Exercise COMPREHENSION I:|3 Videos
  • DEFINITE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL-II)|10 Videos
  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^(2)-3t+2)dt,1<=x<=3 Then the range of f(x) is

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^(2)-3t+2t)dt,1lexle3 then the maximum value of f(x) is

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^2-3t+2)dt,x in [1,3] Then the range of f(x), is

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^(2)-3t+2)dt,1ltxlt3 then the maximum value of f(x) is

Let f(x)=int_(2)^(x)f(t^(2)-3t+4)dt . Then

Let F(x)=int_(0)^(x)(t-1)(t-2)^(2)dt

Let f(x)=int_(0)^(4)|x^(2)-4x-t|dt,x in(0,4) ,then the range of f(x) is

Let F(x)=int_(0)^(x)(t-1)(t-2)^(2)dt, then

If f(x)=int_(1)^(x)(ln t)/(1+t)dt, then

FIITJEE-DEFINITE INTEGRAL -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
  1. The value of int(0)^(pi//2)ln((sin^(2)theta)/(cos^(3)theta))d theta is

    Text Solution

    |

  2. int(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

    Text Solution

    |

  3. int- 8^8(sin^(93)x+x^(295))\ dx

    Text Solution

    |

  4. Let I=int0^1(sin)/(sqrt(x))dx"and"J=int0^1(cosx)/(sqrt(x))dx Then w...

    Text Solution

    |

  5. int0^100 {sqrtx} dx (where {x) is fractional part of x ) =

    Text Solution

    |

  6. int(a)^(b)(f(x))/(f(x)+f(a+b-x))dx=

    Text Solution

    |

  7. If bgta, then int(a)^(b)(dx)/(sqrt((x-a)(b-x))) is equal to

    Text Solution

    |

  8. inta^bsqrt((x-a)(b-x)) dx , a > b

    Text Solution

    |

  9. Let f(x)=int(1)^(x)t(t^(2)-3t+2)dt,1lexle4. Then the range of f (x) is

    Text Solution

    |

  10. Suppose g(x) satisfies g(x)=x+int(0)^(1)(xy^(2)+yx^(2))g(y)dy, then g(...

    Text Solution

    |

  11. For x epsilonR, and a continuous function f let I(1)=int(sin^(2)t)^(1+...

    Text Solution

    |

  12. If overset(4)underset(-1)int f(x)=4 and overset(4)underset(2)int (3-f(...

    Text Solution

    |

  13. If f(x)=f(a+b-x), then overset(b)underset(a)int xf(x)dx is equal to

    Text Solution

    |

  14. If f(x)=int((1)/(x))^(sqrt(x))cost^(2)dt(xgt0)" then "(df(x))/(dx) is

    Text Solution

    |

  15. Let f(x) = 1/x ln(x/e^x) then its primitive w.r.t x is

    Text Solution

    |

  16. The greatest value of f(x)=int1^x|t|\ dt on the interval [-1/2,1/2] :

    Text Solution

    |

  17. int0^pi dx/(1-2acosx+a^2), alt1 is equal to (A) (pialog2)/4 (B) (4pi)/...

    Text Solution

    |

  18. If =underset(1)overset(e)int (logx)^(n) dx, "then"I(n)+nI(n-1) is equa...

    Text Solution

    |

  19. int(0)^(pi//2)(dx)/(1+a^(2)sin^(2)x) has the value

    Text Solution

    |

  20. Statement 1: int(0)^(10)(2^(x))/(2^([x]))dx=(10)/(ln2) (where [.] deno...

    Text Solution

    |