Home
Class 12
MATHS
The value of lim ( x to (pi)/(4))(int(2 ...

The value of `lim _( x to (pi)/(4))(int_(2 ) ^(cosec ^(2)x)tg (t )dt)/(x ^(2)-(pi^(2))/(16))` is:

A

`(2)/(pi) g (2)`

B

`-(4)/(pi) g (2)`

C

`-(16)/(pi) g (2)`

D

`-(16)/(pi) g (2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|16 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|17 Videos

  • HYPERBOLA

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|3 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|6 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr(pi)/(4))(int_(2)^(sec^(2)x)f(t)dt)/(x^(2)-(pi^(2))/(16)) equal :

lim_(x rarr(pi)/(4))(int_(2)^(sec^(2)x)f(t)dt)/(x^(2)-(pi^(2))/(16)) equals:

The value of lim _(x to pi/4) (pi/4 int_2^(sec^2x)f(x)dx)/(x^2-pi^2/16) is

The value of lim_( x to 0) (int_(0)^(x) sin t^(2) dt) / x^(2) is

lim_(pi//4)(overset(sec^(2)x)underset(2)intf(l)dt)/(x^(2)-(pi^(2))/(16)) equals

lim_ (x rarr (pi) / (4)) (cot x-1) / (csc ^ (2) x-2)

Let f: R to R be a continuous function. Then lim_(x to pi//4) (pi/4 int_2^(sec^2x) f(x)dx)/(x^2 - pi^2/16) is equal to :

Let f: R to R be a continuous function. Then lim_(x to pi//4) (pi/4 int_2^(sec^2x) f(x)dx)/(x^2 - pi^2/16) is equal to :

The value of lim_(x to - pi) (int_(0)^(sin x)sin^(-1)t dt)/((x+pi)^(2)) is equal to L then find the value of 100 L :

VK JAISWAL-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The value of lim ( x to (pi)/(4))(int(2 ) ^(cosec ^(2)x)tg (t )dt)/(x ...

    Text Solution

    |

  2. int (x+ ( cos^(-1)3x )^(2))/(sqrt(1-9x ^(2)))dx = (1)/(k (1)) ( sqrt(1...

    Text Solution

    |

  3. If int (0)^(oo) (x ^(3))/((a ^(2)+ x ^(2)))dx = (1)/(ka ^(6)), then fi...

    Text Solution

    |

  4. int( (x^2+1)dx)/x

    Text Solution

    |

  5. If int (x ^(6) +x ^(4)+x^(2)) sqrt(2x ^(4) +3x ^(2)+6) dx = ((ax ^(6) ...

    Text Solution

    |

  6. int( x^2+3)/(x^2+2)dx

    Text Solution

    |

  7. The value of int (tan x )/(tan ^(2) x + tan x+1)dx =x -(2)/(sqrtA) tan...

    Text Solution

    |

  8. Let int (0)^(1) (4x ^(3) (1+(x ^(4)) ^(2010)))/((1+x^(4))^(2012))dx = ...

    Text Solution

    |

  9. Let int ( 1) ^(sqrt5)(x ^(2x ^(2)+1) +ln "("x ^(2x ^(2x ^(2+1)))")")dx...

    Text Solution

    |

  10. If int (dx )/(cos ^(3) x-sin ^(3))=A tan ^(-1) (f (x)) +bln |(sqrt2+f ...

    Text Solution

    |

  11. Find the value of |a| for which the area of triangle included between ...

    Text Solution

    |

  12. Let I = int (0) ^(pi) x ^(6) (pi-x) ^(8)dx, then (pi ^(15))/((""^(15) ...

    Text Solution

    |

  13. int( x^3)/(x^2-3)dx

    Text Solution

    |

  14. If a continuous function f on [0,a] satisfies f(x)f(a-x)=1,agt0, then ...

    Text Solution

    |

  15. If {x} denotes the fractional part of x, then I = int (0) ^(100) (sqrt...

    Text Solution

    |

  16. int( x^3)/(x^2-2)dx

    Text Solution

    |

  17. IF M be the maximum valur of 72 int (0) ^(y) sqrt(x ^(4) +(y-y^(2))^(2...

    Text Solution

    |

  18. Find the number points where f (theta) = int (-1)^(1) (sin theta dx )/...

    Text Solution

    |

  19. underset(nrarroo)lim[(1)/(sqrtn)+(1)/(sqrt(2n))+(1)/(sqrt(3n))+...+(1)...

    Text Solution

    |

  20. The maximum value of int (-pi//2) ^(2pi//2) sin x. f (x) dx, subject t...

    Text Solution

    |

  21. Given a funtion g, continous everywhere such that g (1)=5 and int (0)^...

    Text Solution

    |