Home
Class 12
MATHS
int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= ...

`int_2^4((log)_x2-(((log)_2 2)^2)/(ln2))dx=` 0 (b) 1 (c) 2 (d) 4

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

int((log x)^(2)-log x+1)/(((log x)^(2)+1)^((3)/(2)))dx

Evaluate: ("Lim")_(x->0)((log)_(secx/2)(cosx))/((log)_(secx)(cos(x//2))) 1 (b) 16 (c) 4 (d) 2

int[log(log x)+(1)/((log x)^(2))]dx

Evaluate: int(log(log x)+(1)/((log x)^(2)))dx

4.int((log x)^2dx)/x=

int_0^(2) (x-log_(2)a)dx=2 log((2)/(a)) , if

int_(0)^(4)ln(sqrt((x-2)^(2)+4)+(x-2))dx

int_(1)^(2)((1+log x)^(4))/(x)dx

int_(1)^(2)((1+log x)^(4))/(x)dx

int_(log(1/2))^(log2) log(x+sqrt(x^2+1))dx= (A) 2log2 (B) 1-log2 (C) 1+log2 (D) 0

RESONANCE DPP-JEE MAINS-All Questions
  1. If [dot] represents the greatest integer function, then int4^(10)([x^2...

    Text Solution

    |

  2. Lim(x rarr 0^+) ((pi/2-cot^(-1){x})x)/("sgn"x-cosx) (where {.} and sgn...

    Text Solution

    |

  3. int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4

    Text Solution

    |

  4. The value of the integral int-2^(2) |1-x^2|dx is

    Text Solution

    |

  5. Prove that int0^2|x^2+2x-3|dx=4

    Text Solution

    |

  6. Let image of the line (x-1)/3=(y-3)/5=(z-4)/2 in the plane 2x-y+z+3=0 ...

    Text Solution

    |

  7. Show that sin^(- 1)(sin((33pi)/7))+cos^(- 1)(cos((46pi)/7))+tan^-1(-ta...

    Text Solution

    |

  8. If [dot] denotes the greatest integer function, then (lim)(xvec0)x/...

    Text Solution

    |

  9. prove "lim"(xvecoo)(ln x)/([x])="lim"(xvecoo)([x])/(ln x) where [.]...

    Text Solution

    |

  10. In which of the following function, range is not singleton set f(x)...

    Text Solution

    |

  11. If A is domain of f(x)=lntan^(-1)((x^3-6x^2+11 x-6)(x)(e^x-5) and B is...

    Text Solution

    |

  12. Let tan(2pi|sintheta|)=cot(2pi|costheta|) , where theta in R and f(x)...

    Text Solution

    |

  13. The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L1: x...

    Text Solution

    |

  14. If A=([a(i j)])(3x3') such that a(i j)={2,,i=j0,i!=j ,t h e n |A|=8 ...

    Text Solution

    |

  15. Which of the following intervals is possible domain of the function...

    Text Solution

    |

  16. The domain of the function f(x)=1/(sqrt(^(10)C(x-1)-3.^(10)Cx)) conta...

    Text Solution

    |

  17. The set of values of lambda for which the vectors vec a=(lambda(log)2...

    Text Solution

    |

  18. Which of the following is true?

    Text Solution

    |

  19. Show that the substitution z=ln(tan(x/2)) changes the equation (d^2y)/...

    Text Solution

    |

  20. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

    Text Solution

    |