Home
Class 12
MATHS
int0^(pi/2)log(sin2x)dx...

`int_0^(pi/2)log(sin2x)dx`

A

`pilog2`

B

`-pilog2`

C

`pi/2log2`

D

`-pi/2log2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ONLINE QUESTION PAPER

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos
  • QUESTION PAPER 2015

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|78 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2)log(sinx)dx=

Show that int_(0)^(pi//2) log (sin x) dx = - pi/2 log 2

int_(0)^(pi//2)log(tanx)dx=

int_(0)^(pi//2)log(cosx)dx=

If int_(0)^(pi//2) ln (sin x) dx= - pi/2 ln 2 then int_(0)^(pi) ln (1+ cos x) dx=

If I_(1)= int_(0)^(3pi) f( sin^(2) x)dx and I_(2)= int_(0)^(pi) f(sin^(2)x)dx then

Show that int_(0)^(pi//2) sin^(n)xdx =int_(0)^(pi//2) cos^(n)x dx .

Evaluate (i) int_(0)^(pi//2) sin^(2) x dx

Evaluate int_(0)^(pi/2) x sin x dx .

TS EAMCET PREVIOUS YEAR PAPERS-ONLINE QUESTION PAPER 2018-MATHEMATICS
  1. If the equation of the plane bisecting the line segment joining the po...

    Text Solution

    |

  2. cos[lim(xtooo)(2pi|x|+pix)/(|x|-3x)+lim(xto0)(cos(pi/2cos^(2)x))/x^(2)...

    Text Solution

    |

  3. lim(ntooo)([6^(2)+12^(2)+18^(2)+....+(6n)^(2)]^(2))/([5+10+15+...+5n][...

    Text Solution

    |

  4. If [x] denotes the greatest integer not exceeding the number x, then f...

    Text Solution

    |

  5. f(x)=((a+x)/(1+x))^(a+1+2x) show that f'(0)=a^(a+1)(2loga+(1-a^2)/a)

    Text Solution

    |

  6. If y=log(2)(log(2)x)," then "dy/dx=

    Text Solution

    |

  7. If y=xlog(x/(2-3x))" for "0ltxlt2/3," then "(d^(2)y)/(dx^(2))" at "x=1...

    Text Solution

    |

  8. An approximate value of root(4)(18) is

    Text Solution

    |

  9. The sum of the maximum and the minimum values of 3x^(4)-2x^(3)-6x^(2)+...

    Text Solution

    |

  10. The constant c of Lagrange's mean value theorem for f(x)=cosx-sin2x" i...

    Text Solution

    |

  11. Air is discharging from a large spherical balloon at the rate of 4 cub...

    Text Solution

    |

  12. Evaluate: intx/(x^2+3x+2)\ dx

    Text Solution

    |

  13. int(sqrt(x^(2)+1)[log(x^(2)+1)-2logx])/(x^(4))dx is equal to

    Text Solution

    |

  14. Evaluate the following integrals int(dx)/(sinx+sin2x)

    Text Solution

    |

  15. int(sec^(4)x+tan^(4)x)dx=

    Text Solution

    |

  16. lim(ntooo)1/n{sin^(5)(pi/(6n))+sin^(5)((2pi)/(6n))+sin^(5)((3pi)/(6n))...

    Text Solution

    |

  17. int0^(pi/2)log(sin2x)dx

    Text Solution

    |

  18. The area (in sq units) between the curve y^(2)=8x and its latus rectum...

    Text Solution

    |

  19. The order and the degree of the differential equation y=px+sqrt(a^(2)p...

    Text Solution

    |

  20. The solution of the differential equation dx/dy+2yx=2y which passes th...

    Text Solution

    |