Home
Class 12
MATHS
int(0)^(pi//2)(tan^(7)x)/(cot^(7)x + tan...

`int_(0)^(pi//2)(tan^(7)x)/(cot^(7)x + tan^(7)x)dx` is equal to

A

`pi/2`

B

`pi/4`

C

`pi/6`

D

`pi/3`

Text Solution

Verified by Experts

The correct Answer is:
B
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) log(tan x)dx =

int 1/(x(x^(7)+1)) dx is equal to

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

int (tan^(-1)x)^(3)/(1+x^(2)) dx is equal to

int_(pi/4)^(pi/2) (cot^(4)x + cot^(2)x) dx =

int_0^(pi/8) tan^(2) (2x) dx =

inte^(tan^(-1)x)(1+x/(1+x^(2)))dx is equal to

int tan^(5)x dx=

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2017-QUESTION BANK
  1. int (cos2x - cos 2theta)/(cosx- costheta)dx is equal to

    Text Solution

    |

  2. int sqrt(x^(2)+ 2x+5) dx is equal to

    Text Solution

    |

  3. int(0)^(pi//2)(tan^(7)x)/(cot^(7)x + tan^(7)x)dx is equal to

    Text Solution

    |

  4. int(-5)^(5)|x+2|dx is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Two events A and B will be independent if

    Text Solution

    |

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

    Text Solution

    |