Home
Class 12
MATHS
int(0)^(16)(log(e )x^(2))/(log(e )x^(2)+...

`int_(0)^(16)(log_(e )x^(2))/(log_(e )x^(2)+log_(e )(x^(2)-44x+484))dx` is equal to

A

5

B

6

C

10

D

8

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section B)|50 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section B|20 Videos
  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos
  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

int_(1)^(x)log_(e)[x]dx

int_(1)^(2) (log_(e) x)/(x^(2)) dx

int((sec^(2)(log_(e)x))/(x)dx

I=int(log_(e)(log_(e)x))/(x(log_(e)x))dx

int log_(e)x^(2)dx

(d)/(dx)[log_(e)e^(sin(x^(2)))] is equal to

int_(1)^(e)(e^(x)(x log_(e)x+1))/(x)dx is equal to

int((1+(log)_(e)x)^(2))/(1+(log)_(e)x^(x+1)+((log)_(e)x^(sqrt(x)))^(2))dx=

int sin^(2)(log_(e)x)dx

int log_(e)(1+x^(2))dx

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics (Section A)
  1. If S={z in CC : (z-i)/(z+2i) in RR}, then

    Text Solution

    |

  2. A wire of length 20m is to be cut into two pieces. One of the pieces i...

    Text Solution

    |

  3. int(0)^(16)(log(e )x^(2))/(log(e )x^(2)+log(e )(x^(2)-44x+484))dx is e...

    Text Solution

    |

  4. If 0 lt x lt 1, then (3)/(2)x^(2)+(5)/(3)x^(3)+(7)/(4)x^(4)+.............

    Text Solution

    |

  5. If the matrix A=({:(0,2),(K,-1):}) satisfies A(A^(3)+3I)=2I, then then...

    Text Solution

    |

  6. If alpha,beta are the distinct roots of x^(2)+bx+c=0, then lim(x to be...

    Text Solution

    |

  7. Let y=y(x) be the solution of the differential equation (dy)/(dx)=2(y+...

    Text Solution

    |

  8. Let (sinA)/(sinB)=(sin(A-C))/(sin(C-B)), where A , B, C are angles of ...

    Text Solution

    |

  9. The statement (p^^(p to q) ^^ (q to r)) to r is

    Text Solution

    |

  10. If (sin^(-1)x)^(2)-(cos^(-1)x)^(2)=a , 0 lt x lt 1, a ne 0, then the v...

    Text Solution

    |

  11. Equation of a plane at a distance sqrt((2)/(21)) from the origin which...

    Text Solution

    |

  12. Each of the persons A and B independently tosses three fair coins....

    Text Solution

    |

  13. The set of all values of k gt -1 for which the equation (3x^(2) +4...

    Text Solution

    |

  14. Let [lambda] be the greatest integer less than or equal to lambda. T...

    Text Solution

    |

  15. Two poles, AB of length a metres and CD of length a+b (b ne a) metres...

    Text Solution

    |

  16. If 0 lt x lt 1 and y=(1)/(2) x^(2) +(2)/(3) x^(3) +(3)/(4) x^(4) + …...

    Text Solution

    |

  17. The area of the region bounded by the parabola (y-2)^(2) =(x-1), the ...

    Text Solution

    |

  18. If y(x) = cot^(-1) ((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-s...

    Text Solution

    |

  19. Let A=(("[x+1]", "[x+2]" , "[x+3]"),("[x]","[x+3]","[x+3]"),("[x]","[...

    Text Solution

    |

  20. Let ZZ be the set of all integers, A={(x,y) in ZZ xx ZZ : (x-2)^(2)+...

    Text Solution

    |