Home
Class 12
MATHS
If f(x)=int1^x(lnt)/(1+t)dt, then...

If `f(x)=int_1^x(lnt)/(1+t)dt`, then

A

Statement -1 is True, Statement -2 is true, Statement-2 is a correct explanation for Statement-1

B

Statement -1 is True, Statement -2 is True, Statement-2 is NOT a correct explanation for Statement-1

C

Statement -1 is True, Statement-2 is False

D

Statement -1 is False, Statement -2 is True

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    FIITJEE|Exercise EXERCISE 1:|4 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise EXERCISE 2:|3 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|12 Videos

  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

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

If f(x) = int_1^x lnt/(1+t) dt where x>0 then the values of x satisfying the equation f(x)+f(1/x) = 2 are (i)2 (ii)e (iii)e^(-2) (iv)e^(2)

If f(x) =int_(x)^(-1) |t|dt , then for any x ge 0 , f(x) equals

If f(x)=int_(1)^(x) (log t)/(1+t) dt"then" f(x)+f((1)/(x)) is equal to

For x>0, let f(x)=int_(1)^(x)(log t)/(1+t)dt. Find the function f(x)+f((1)/(x)) and find the value of f(e)+f((1)/(e))

If f(x)=int_(-1)^(x)|t|dt , then for any x ge0,f(x) is equal to

If f(x)=int_(-1)^(x)|t|dt , then for any xge0,f(x) equals

f(x)=int_1^x lnt/(1+t) dt , f(e)+f(1/e)=

FIITJEE-DEFINITE INTEGRAL -SOLVED PROBLEMS (OBJECTIVE)
  1. int(0)^(pi)(1)/(a^(2)-2acosx+1)dx,agt1 is equal to

    Text Solution

    |

  2. If f:RrarrR,f(x) is a differentiable function such that (f(x))^(2)=e...

    Text Solution

    |

  3. If 1=int0^(pi/2)(dx)/(sqrt(1+sin^3x)) then

    Text Solution

    |

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

    Text Solution

    |

  5. If f(x)=int(x)^(x^(2))(dt)/((logt)^(2)),xne0 then f(x) is

    Text Solution

    |

  6. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  7. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  8. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  9. The value of the integral int(0)^(npi+v)|sinx|dx" where "ninNand0levle...

    Text Solution

    |

  10. the value of int0^1 e^(2x-[2x]) d(x-[x])

    Text Solution

    |

  11. If f(x)=int1^x(lnt)/(1+t)dt, then

    Text Solution

    |

  12. If int(0)^(x^(2)(1+x))f(t)dt=x, then the value of 25f(2) must be.

    Text Solution

    |

  13. If (pi)/(2)ltalphalt(2pi)/(3)andl=int(0)^(sin2alpha)(dx)/(sqrt(4cos^(2...

    Text Solution

    |

  14. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

    Text Solution

    |

  15. If I(n)=int(0)^(1)(1+x+x^(2)+....+x^(n-1))(1+3x+5x^(2)+....+(2n-3)x^(n...

    Text Solution

    |

  16. Match the following:

    Text Solution

    |

  17. int(0)^(oo)e^(-x^(2))dx=(sqrtpi)/(2) then

    Text Solution

    |

  18. Which of the following is correct combination?

    Text Solution

    |

  19. Which of the following is correct combination?

    Text Solution

    |

  20. Which of the following is not correct combination?

    Text Solution

    |