Home
Class 12
MATHS
int(0)^((pi)/(2)) (1)/(1 + cot x)dx...

`int_(0)^((pi)/(2)) (1)/(1 + cot x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(4)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise - 2.4 (Level-1)|40 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise -2.5 (Level-1)|6 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise 2.2 (Level-1)|35 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

int_(0)^((pi)/(2)) (3 tan x + 4 cot x)/(tan x + cot x)dx

Evaluate the following integrals int_(0)^(pi/2)(1)/(1+tan x)dx

int_(0)^(pi//2)(1)/(1+sqrt(cotx))dx=

int_(0)^(pi//2) ln (tan x+ cot x)dx=

int_(0)^((pi)/(2n))(dx)/(1+Cot^(n)nx)=

Evaluate int_(0)^(pi)(1)/(3+2cos x) dx

int_(0)^(pi//2) (Cos x)/(1+Sin x) dx=

int_(0)^((pi)/(2))(4sqrt(cot x))/(4sqrt(tan x) + 4sqrt(cot x)) dx

int_(0)^(pi//2) (dx)/(1 + sin^(2)x)=

AAKASH SERIES-DEFINITE INTEGRALS-Exercise-2.3 (Level-1)
  1. int(-(pi)/(2))^((pi)/(2)) (f(x) + f(-x))(g(x) - g(-x)) dx where f(x) a...

    Text Solution

    |

  2. Evaluate the following integrals (i) int(0)^(pi/2)(cos^(5//2)x)/(si...

    Text Solution

    |

  3. int(0)^((pi)/(2)) (1)/(1 + cot x)dx

    Text Solution

    |

  4. Evaluate the following integrals (iii) int(0)^(pi/2)(sqrt(sec x))/(s...

    Text Solution

    |

  5. int(0)^((pi)/(2))(4sqrt(cot x))/(4sqrt(tan x) + 4sqrt(cot x)) dx

    Text Solution

    |

  6. Evaluate the following integrals (i) int(0)^(pi/2)(2 sin x + 3 co...

    Text Solution

    |

  7. int(0)^((pi)/(2)) (3 tan x + 4 cot x)/(tan x + cot x)dx

    Text Solution

    |

  8. int(0)^((pi)/(2)) ("4 sec x + 5 cosec x")/("sec x + cosec x") dx

    Text Solution

    |

  9. int(0)^((pi)/(2)) (2 cos x-sinx)/(cos x + sin x)dx

    Text Solution

    |

  10. Evaluate underset(pi//6)overset(pi//3)int (sqrt(x))/(sqrt(sinx)+sqrt(c...

    Text Solution

    |

  11. Evaluate the following integrals (ii) int(pi/6)^(pi/3)(1)/(1+ root ...

    Text Solution

    |

  12. int((pi)/(6))^((pi)/(3))(sec^(4)x)/("cosec"^(4) x + sec^(4)x) dx

    Text Solution

    |

  13. int((pi)/(5))^((3pi)/(10))(f(sin x))/(f(sin x) + f(cos x)) dx

    Text Solution

    |

  14. Find underset(-a)overset(a)int(x^(2)+sqrt(a^(2)-x^(2)))dx

    Text Solution

    |

  15. Evaluate underset(-pi//2)overset(pi/2)int sin|x| dx

    Text Solution

    |

  16. Evaluate the following integrals (iii) int(-1)^(1)|x|dx

    Text Solution

    |

  17. int(pi)^((pi)/(2)) sin|2x|dx

    Text Solution

    |

  18. Evaluate the following integrals (iv) int(-1)^(1)(x^(4)+sin^(3)x)dx

    Text Solution

    |

  19. Evaluate the definite integrals . underset(-pi//2)overset(pi//2)int ...

    Text Solution

    |

  20. int(0)^(2pi)(1)/(1+e^(sinx))dx=

    Text Solution

    |