Home
Class 12
MATHS
underset(xrarr(pi//4))lim( int2^(sec^2x)...

`underset(xrarr(pi//4))lim( int_2^(sec^2x)(f(t)dt))/(x^2-(pi)^2/16` equals

A

`8/pif(2)`

B

`2/pif(2)`

C

`2/pif(1/2)`

D

4f(2)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY & DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|13 Videos
  • DETERMINATES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarrpi/4)(int_2^(sec^2x) f(t)dt)/(x^2-pi^2/16)

underset(xrarr(pi)/(2))"lim"(cosx)/((pi)/(2)-x) =

underset(xrarr4)"lim"(sqrt(x)-2)/(x-4)= ?

underset(trarra)lim(int_a^tf(x)dx-((t-a)/2)(f(t)-f(a)))/(t-a)^3

underset(xrarr-(1)/(2))"lim"(2x^(2)-3x+1)/(2x-1)= ?

The value of underset(xrarr2)lim int_2^x (3t^2)/(x-2) dt is

underset(xrarr2)"lim"(x^(5)-32)/(x-2)= ?

underset(xrarr0)"lim"(a^(2x)-1)/(x) =

Evaluate underset(xrarr1^(+))(lim)(2)^((-2)^(1/(1-x)))

Evaluate : underset(xrarr(pi)/(2))"lim"((pi)/(2)-x)tanx

PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. if 0ltalphalt1 and I=int(-1)^1dx/(sqrt(1-2alphax+alpha^2) then I equal...

    Text Solution

    |

  2. if I=int8^15 dx/((x-3)sqrt(x+1)) then I equals

    Text Solution

    |

  3. underset(xrarr(pi//4))lim( int2^(sec^2x)(f(t)dt))/(x^2-(pi)^2/16 equal...

    Text Solution

    |

  4. If int1^infty((x^3+3)dx)/(x^6(x^2+1))=(a+bpi)/c, then

    Text Solution

    |

  5. If int0^1 ((1-x^2)dx)/(1+x^2+x^4) =aInb then,

    Text Solution

    |

  6. If f(x)=int(-2)^xabs(t+1)dt then,

    Text Solution

    |

  7. Let f(x)be a function satisfying f(x)=f(x) with f(0)=1 and 'g' be the ...

    Text Solution

    |

  8. Let In=int0^(pi/4)tan^nxdx, then 1/(I2+I4),1/(I3+I5), 1/(I4+I6), 1/(I5...

    Text Solution

    |

  9. The maximum and minimum values of the integral int0^(pi/2)dx/(1+sin^2x...

    Text Solution

    |

  10. Let f(x)=int0^xabs(sint)dt, then

    Text Solution

    |

  11. The value of int(pisinmxsinnxdx(m,ninN) is equal to for limits-pi to p...

    Text Solution

    |

  12. The value of int(1/e)^tanx(tdt)/(1+t^2)+int(1/e)^cotxdt/(t(1+t^2) is

    Text Solution

    |

  13. If (2x)/piltsinxltx for 0ltxlt(pi/2), the the value of the integral in...

    Text Solution

    |

  14. Definite integral of any discontinuous or non differentiable function ...

    Text Solution

    |

  15. Definite integral of any discontinuous or non diffrentiable function i...

    Text Solution

    |

  16. if m and M are the smallest and greatest values of a function f(x)defi...

    Text Solution

    |

  17. if m and M are the smallest and greatest values of a function f(x) def...

    Text Solution

    |

  18. let F(x)=int0^x(2t div1)/(t^2-2t+2)dt,x in[-1,1] then

    Text Solution

    |

  19. Text Solution

    |

  20. I=int0^2x[2x]dx where [.] denotes the greatest integer function then t...

    Text Solution

    |