Home
Class 12
MATHS
Evaluate the following : int(pi//6)^(...

Evaluate the following :
`int_(pi//6)^(pi//3)(1)/(1+sqrt(cotx))dx`

Text Solution

Verified by Experts

`(pi)/(12)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise 14.2 PROPERTIES OF DEFINITE INTEGRALS|4 Videos

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise M.C.Q|12 Videos

Similar Questions

Explore conceptually related problems

int_(pi/12)^(pi/2)(dx)/(1+sqrt(cotx))

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

Evaluate the following : int_(0)^(pi//2)(1)/(1+sqrt(tanx))dx

int_(pi//6)^(pi//3)(1)/((1+sqrt(tanx)))dx=(pi)/(12)

Evaluate the following integral: int_(pi//3)^(pi//2)(sqrt(1+cosx))/((1-cosx)^(3//2))dx

Evaluate the following integral: int_(pi//6)^(pi//3)1/(1+cot^(3//2)x)dx

int_(pi//6)^(pi//3)(1)/(1+tan x) dx=

Evaluate the following : int_(pi//2)^(pi)e^(x)((1-sinx)/(1-cosx))dx.

Evaluate of each of the following integral: int_(pi//6)^(pi//3)1/(1+sqrt(tanx))dx

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

NAVNEET PUBLICATION - MAHARASHTRA BOARD-DEFINITE INTEGRALS-Examples for Practice
  1. Evaluate the following : int(0)^(1)(dx)/(x+sqrt(1-x^(2))).

    Text Solution

    |

  2. Evaluate the following : int(0)^(a)(sqrtx)/(sqrtx+sqrt(a-x))dx

    Text Solution

    |

  3. Evaluate the following : int(0)^(a)(rootn(x+c))/(rootn(x+c)+rootn(a...

    Text Solution

    |

  4. Evaluate the following : int(0)^(a)x^(2)sqrt(1-x)dx

    Text Solution

    |

  5. Evaluate the following : int(0)^(1)x^(2)(1-x)^((5)/(2))dx.

    Text Solution

    |

  6. Evaluate the following integral: int0^oo(logx)/(1+x^2)dx

    Text Solution

    |

  7. Evaluate the following : int(0)^(pi//2)sin 2x.log (tanx)dx.

    Text Solution

    |

  8. Evaluate the following : int(0)^(pi)(x tan x)/(secx+cos x)dx

    Text Solution

    |

  9. Evaluate the following : int(0)^(pi)(x tanx)/(secx "cosec x")dx

    Text Solution

    |

  10. Evaluate the following : int(0)^(pi)x sin^(3)x dx

    Text Solution

    |

  11. Evaluate int(0)^(pi)(x)/((a^(2)cos^(2)x+b^(2)sin^(2)x))dx.

    Text Solution

    |

  12. Evaluate the following : int(pi//6)^(pi//3)(root3(sinx))/(root3(sin...

    Text Solution

    |

  13. Evaluate the following : int(pi//6)^(pi//3)(1)/(1+sqrt(cotx))dx

    Text Solution

    |

  14. Evaluate the following : int(4)^(7)((11-x)^(3))/(x^(3)+(11-x)^(3))d...

    Text Solution

    |

  15. Evaluate the following : int(1)^(3)(root3(x+5))/(root3(x+5)+root3(9...

    Text Solution

    |

  16. int0 ^(pi/2) log sinx dx = int0 ^(pi/2) log cosx dx = 1/2 (pi) log(1/2...

    Text Solution

    |

  17. int0^1 (log x)/(sqrt(1-x^2))dx

    Text Solution

    |

  18. Evaluate the following : int(-9)^(9)(x^(3))/(4-x^(2))dx

    Text Solution

    |

  19. Evaluate the following : int(-1)^(1)(x^(2))/(1+x^(2))dx

    Text Solution

    |

  20. int(-pi)^(pi) (2x(1+ sinx))/(1+ cos^(2))dx is

    Text Solution

    |