Home
Class 12
MATHS
Evaluate the following integral: int0^(p...

Evaluate the following integral: `int_0^(pi//2)(sqrt(cotx))/(sqrt(cotx\ )+sqrt(tanx))dx`

A

`pi`

B

`(pi)/(2)`

C

`(pi)/(4)`

D

`(pi)/(3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (Only one answer)|70 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (More than one answer)|32 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integral: int_0^(pi//2)1/(1+cotx)dx

Evaluate the following integral: int_0^(pi//4)(sqrt(t a n x)+sqrt(cotx))dx

Evaluate the following integral: int_0^(pi//2)(sinx)/(sqrt(1+cosx))dx

Evaluate the following integral: int_0^(1//2)1/(sqrt(1-x^2))dx

Evaluate the following integral: int_0^a x/(sqrt(a^2+x^2))dx

Evaluate the following integral : int_0^(2pi)sqrt(1+sin(x/2))dx

Evaluate the following integral: int_0^2x\ sqrt(2-x)\ dx

Evaluate the following integral: int_0^a1/(x+sqrt(a^2-x^2))dx

Evaluate the following integral: int_0^2x\ sqrt(x+2)\ dx

Evaluate the following integral: int_0^(pi//2)(sintheta)/(sqrt(1+costheta))d theta

AAKASH INSTITUTE ENGLISH-INTEGRALS-Competition level Questions
  1. If intf(x)dx=xcospix+C, then f((1)/(2))=

    Text Solution

    |

  2. Evaluate: intsqrt(x^2+2x+5) \ dx

    Text Solution

    |

  3. Evaluate the following integral: int0^(pi//2)(sqrt(cotx))/(sqrt(cotx\ ...

    Text Solution

    |

  4. T h ev a l u eofint0^(pi/2)(dx)/(1+tan^3x)i s 0 (b) 1 (c) pi/2 (d...

    Text Solution

    |

  5. The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dx is

    Text Solution

    |

  6. The value of int(0)^(a)(dx)/(x+sqrt((a^(2)-x^(2))) is equal to

    Text Solution

    |

  7. int(0)^(pi//2n)(dx)/(1+(tan nx)^(n)) is equal to n in N :

    Text Solution

    |

  8. The value of int(0)^(pi//2)(asinx+bcosx)/(sinx+cosx)dx is equal to

    Text Solution

    |

  9. int(cos2x)/((sinx+cosx)^(2))dx is equal to

    Text Solution

    |

  10. int(-1)^(1)x^(17)cos^(4) x dx is equal to

    Text Solution

    |

  11. int (pi//4)^(pi//2) "cosec"^(2)xdx is equal to

    Text Solution

    |

  12. The integral int(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (wher...

    Text Solution

    |

  13. Let f : R -> R and g : R -> R be continuous functions. Then the value...

    Text Solution

    |

  14. The value of int(0)^(pi//2)logsinxdx is equal to

    Text Solution

    |

  15. If f(x)={(e^cosx sinx ,, |x| leq 2),(2 ,, other wise):}. Then int-2^...

    Text Solution

    |

  16. The value of int(0)^(2//3)(dx)/(4+9x^(2)) is equal to

    Text Solution

    |

  17. The value of int(log1//2)^(log2)sin{(e^(x)-1)/(e^(x)+1)}dx is equal to

    Text Solution

    |

  18. int0^1 sqrt((1-x)/(1+x)) dx

    Text Solution

    |

  19. The value of int(0)^(pi//2)(cosxdx)/(1+cosx+sinx) is equal to

    Text Solution

    |

  20. If l(1)=int(0)^(npi)f(|cosx|)dx and l(2)=int(0)^(5pi)f(|cosx|)dx, then

    Text Solution

    |