Home
Class 12
MATHS
overset(pi//2)underset(-pi//2)int (|x|)/...

`overset(pi//2)underset(-pi//2)int (|x|)/(8 cos^(2)2x+1)dx`has the value

A

`(pi ^(2))/(6)`

B

`(pi^(2))/(12)`

C

`(pi^(2))/(24)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|31 Videos
  • INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|31 Videos
  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos

Similar Questions

Explore conceptually related problems

int_(-pi//2)^(pi//2) (|x|)/(8 cos^(2)2x+1)dx has the value

int_(-pi//2)^(pi//2)(sin^(2n-1)x)/(1+cos^(2n)x)dx=

int_(-pi//2)^(pi//2)(sinx)/(1+cos^(2)x)e^(-cos^(2)x)dx is equal to

int_(-pi)^( pi)(cos^(2)x)/(1+2^(x))dx

int_(-pi//2)^(pi//2) (5sin^3 x+8sinx+4 cos^2x) dx

int_(-pi)^(pi)sin^(2)x.cos^(2)x dx=

DISHA PUBLICATION-INTEGRALS -EXERCISE-1 CONCEPT BUILDER
  1. If a (n) = int(0) ^( (pi)/(2)) (sin^(2) nx)/( sin x) dx then a (2) ...

    Text Solution

    |

  2. Let I=overset(1)underset(0)int (sin x)/(sqrt(x))dx andI=overset(1)unde...

    Text Solution

    |

  3. overset(pi//2)underset(-pi//2)int (|x|)/(8 cos^(2)2x+1)dxhas the value

    Text Solution

    |

  4. If underset(0)overset(1)int e^(x^(2))(x-alpha)dx=0 then

    Text Solution

    |

  5. The value of the integral int(0) ^(pi) cos 2 x log (e) sin x dx is

    Text Solution

    |

  6. If int(1/2)^2 1/x cosec^(101)(x-1/x)dx=k then the value of k is :

    Text Solution

    |

  7. The value of int-pi^pi cos^2x/[1+a^x].dx,a>0 is

    Text Solution

    |

  8. The value of int(1)^(e^(37))(pi sin(pi log x))/(x)dx is ………….

    Text Solution

    |

  9. Evaluate int (0)^(pi)(x)/(1+ cos^(2)x)dx.

    Text Solution

    |

  10. The value of int(pi//4)^(3pi//4)(phi)/(1+sinphi)d phi is

    Text Solution

    |

  11. The value of int(0) ^(1) (dx )/( e ^(x) + e) is equal to

    Text Solution

    |

  12. The value of int(-1)^(3)(|x|+|x-1|) dx is equal to

    Text Solution

    |

  13. The value of int(-pi) ^(pi) (sin ^(2) x)/( 1 + 7 ^(x)) dx= is equal to

    Text Solution

    |

  14. int ( log 1//2 ) ^( log 2) sin { (e ^(x) -1)/( e ^(x ) +1 )}dx equals

    Text Solution

    |

  15. Let f (x) = x^(2) -2. If int (3) ^(6) f (x)dx =3f (c ) for some c in (...

    Text Solution

    |

  16. int0^pix(sin^4xcos^4x)dx

    Text Solution

    |

  17. If I(n) = int (0)^(pi//4) tan^(n) theta " " d theta, "then "I(8)+I(6)=

    Text Solution

    |

  18. In=int0^(pi//4) tan^n x\ dx, then lim(ntooo) n\ [In + I(n+2)] is equal...

    Text Solution

    |

  19. What is int tan^(2) x sec^(4) x dx equal to ?

    Text Solution

    |

  20. int(0)^(pi//2) sin^(2) x cos ^(3) x dx

    Text Solution

    |