Home
Class 12
MATHS
The value of int(0)^(pi//2)logsinxdx is ...

The value of `int_(0)^(pi//2)logsinxdx` is equal to

A

`-((pi)/(2))log2`

B

`pilog.(1)/(2)`

C

`-pilog.(1)/(2)`

D

`(pi)/(2)log2`

Text Solution

AI Generated Solution

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

int_(0)^(pi//2) log | tan x | dx is equal to

The value of int_(pi)^(2pi)[2sinx]dx is equal to (where [.] represents the greatest integer function)

int_(0)^(pi//2) cosx\ e^(sinx)\ dx is equal to

int_(0)^(1//2) |sin pi x|dx is equal to

The value of int_0^(pi/2)cos^2xdx

Find the value of int_0^(pi/2)sin2xdx

int_(0)^(pi//2) sin^(4)xcos^(3)dx is equal to :

The value of int_(0)^(2pi)cos^(5)x dx , is

The value of int_(0)^(pi) cos^(11)xdx , is

The value of int_(0)^(pi//2)ln|tanx+cotx| dx is equal to :

AAKASH INSTITUTE ENGLISH-INTEGRALS-Competition level Questions
  1. The integral int(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (wher...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Suppose for every integer n, . underset(n)overset(n+1)intf(x)dx = n^(2...

    Text Solution

    |

  11. Evaluate: int(-pi//2)^(pi//2)1/(1+e^(sin x))dx

    Text Solution

    |

  12. The value of int-pi^pi cos^2x/[1+a^x]dx, a > 0 is

    Text Solution

    |

  13. The value of int(1)^(2) (dx)/(x(1+x^(4)) is

    Text Solution

    |

  14. The value of underset(0)overset(pi//2)int logtan xdx, is

    Text Solution

    |

  15. The value of int(-2)^2|1-x^2|dx is

    Text Solution

    |

  16. Evaluate int(0)^(pi//2)|sinx-cosx|dx.

    Text Solution

    |

  17. int(0)^(pi)|cosx|dx=?

    Text Solution

    |

  18. The value of the integral int(0)^(1) x(1-x)^(n)dx is -

    Text Solution

    |

  19. The value of the integral int(1)^(5)[|x-3|+|1-x|]dx is equal to-

    Text Solution

    |

  20. To find the numberical value of overset(2)underset(-2)int (px^(3)+qx+s...

    Text Solution

    |