Home
Class 12
MATHS
The integral int2^4(logx^2)/(logx^2+lo...

The integral `int_2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx` is equal to: (1) 2 (2) 4 (3) 1 (4) 6

A

2

B

4

C

1

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|5 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

The integral int_(2)^(4)(log x^(2))/(log x^(2)+log(36-12x+x^(2)))dx is equal to: (1)2(2)4(3)1(4)6

The integral int_(2)(4)(logx^(2))/(logx^(2)+log(36-12x+x^(2))) dx is equal to

The integral int_(2)^(4)(e^(x^(2)))/(e^(x^(2))+e^((36-12x+x^(2))))dx is equal to

int _(2) ^(4) (log x ^(2))/( log x ^(2) + log (36-12 x + x ^(2)) dx is

int_(1)^(e){((logx-1))/(1+(logx)^(2))}^(2) dx is equal to

int{(logx-1)/(1+(logx)^(2))}^(2) dx is equal to

The value of the integral int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx))dx is equal to (A) x^2+c (B) x^3/3+c (C) x^2/2+c (D) none of these

int_(1)^(2)(logx)/(x)dx

int_(1)^(2)(logx)/(x)dx

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
  1. For a in R ( the set of all real number) , a ne -1, lim(n to oo)((1^...

    Text Solution

    |

  2. Consider the statements : P : There exists some x IR such that f(x)...

    Text Solution

    |

  3. Which of the following is true?

    Text Solution

    |

  4. For any real number x ,l e t[x] denote the largest integer less than o...

    Text Solution

    |

  5. Let f be a non-negative function defined on the interval .[0,1].If int...

    Text Solution

    |

  6. If In=int(-pi)^(pi) \ (sinnx)/((1+pi^x) \ sinx) \ dx, n=0,1,2,...... t...

    Text Solution

    |

  7. Let Sn=sum(k=0)^n n/(n^2+k n+k^2) and Tn=sum(k=0)^(n-1)n/(n^2+k n+k...

    Text Solution

    |

  8. The Integral int(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to: ...

    Text Solution

    |

  9. Let In=int tan^n x dx, (n>1). If I4+I6=a tan^5 x + bx^5 + C, Where C...

    Text Solution

    |

  10. lim(n rarr infty ) [((n+1)(n+2)...3n)/(n^(2n))]^(1//n) is equal to

    Text Solution

    |

  11. The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...

    Text Solution

    |

  12. The integral int(0)^(pi) sqrt(1+4 sin )(x)/(2) -4 "sin" (x)/(2) dx is...

    Text Solution

    |

  13. Statement I The value of the integral int(pi//6)^(pi//3) (dx)/(1+sqrt...

    Text Solution

    |

  14. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

    Text Solution

    |

  15. Ifg(x)= int(0)^(x) cos ^(4)t dt, "then " g (x+pi) equals

    Text Solution

    |

  16. The value of int(0)^(1) (8 log(1+x))/(1+x^(2)) dx is

    Text Solution

    |

  17. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |

  18. Let p(x) be a function defined on R such that lim(xrarr infty) f (3x...

    Text Solution

    |

  19. int(0)^(pi)[cos x] dx, [ ] denotes the greatest integer function , is ...

    Text Solution

    |

  20. Let I=int(0)^(1)(sinx)/(sqrtx) dx and f= int(0)^(1)( cos x)/(sqrtx) dx...

    Text Solution

    |