Home
Class 12
MATHS
int(0)^(pi//2)(1)/(a^(2).sin^(2)x+b^(2)....

`int_(0)^(pi//2)(1)/(a^(2).sin^(2)x+b^(2).cos^(2)x)dx` is equal to

A

`(pi a)/(4b)`

B

`(pi a)/(2b)`

C

`(pib)/(4a)`

D

`pi/(2ab)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COMMON ENTRANCE TEST - 2018

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =

int (4)/(sin^2 x cos^(2) x)dx is equal to :

int (sin^(2)x)/(1+cos x) dx is equal to

int_0^(pi) (xdx)/(a^(2) cos^(2) x+ b^(2) sin^(2) x) =

int(1)/(sin^(2)x cos^(2)x)dx=

int_(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x+cos^(1000)x) is equal to

int_(0)^(pi//2)(sin^(3//2)x)/(sin^(3//2)x+cos^(3//2)x)dx=

int_(-2)^2 |x cos pi x|dx is equal to :

int_(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x + cos^(1000)x) is equal to

int_(0)^(pi//2)(sin^(7//2)x)/((sin^(7//2)x + cos^(7//2)x))dx=

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2017-QUESTION BANK
  1. int(-5)^(5)|x+2|dx is equal to

    Text Solution

    |

  2. int-(pi//2)^(pi//2) (dx)/(e^(sinx)+1) is equal to

    Text Solution

    |

  3. int(0)^(pi//2)(1)/(a^(2).sin^(2)x+b^(2).cos^(2)x)dx is equal to

    Text Solution

    |

  4. The area of the region bounded by the curve y = x^(2) and the line y =...

    Text Solution

    |

  5. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |

  6. The degree of the differential equation [1+((dy)/(dx))^(2)]^(2)=(d^(2)...

    Text Solution

    |

  7. General solution of differential equation (dy)/(dx)+y=1(y ne 1) is

    Text Solution

    |

  8. The integrating factor of the differential equation x.(dy)/(dx)+2y=x^(...

    Text Solution

    |

  9. if vec a= 2 hat i+ lambda hat j+ hat k and vec b= hat i+ 2 hat j+ 3 h...

    Text Solution

    |

  10. If vec a, vec b, vec c are unit vectors such that vec a + vec b + vec ...

    Text Solution

    |

  11. If vec a and vec b are unit vectors, then angle between vec a and vec...

    Text Solution

    |

  12. Reflection of the point (alpha, beta, gamma) in XY plane is

    Text Solution

    |

  13. The plane 2x-3y+6z-11=0 makes an angle sin^(-1)(alpha) with X - axis. ...

    Text Solution

    |

  14. The distance of the point (-2, 4, -5) from the line (x +3)/(3)= (y - 4...

    Text Solution

    |

  15. A box has 100 pens of which 10 are defective. The probability that out...

    Text Solution

    |

  16. Two events A and B will be independent if

    Text Solution

    |

  17. The probability distribution of X is The value of k is

    Text Solution

    |

  18. The shaded region in the figure is the solution set of the inequations

    Text Solution

    |

  19. If an LPP admits optimal solution at two consecutive vertices of a fea...

    Text Solution

    |

  20. int(0.2)^(3.5)[x]dx is equal to

    Text Solution

    |