Home
Class 12
MATHS
int(0)^(pi//4)log ((sin x +cos x )/(cosx...

`int_(0)^(pi//4)log ((sin x +cos x )/(cosx))dx ` is equal to

A

`pi/4 log 2`

B

`pi/2 log 2`

C

`pi/8 log 2`

D

log 2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST - 2018

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

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

int_0^(pi//4) (sin x + cos x)/(3 + sin 2x ) dx =

int_(0)^(pi/6) sin2x . cosx dx

int_0^(pi/2) log ((a+b sin x)/(a+b cos x)) dx =

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

int_0^(pi//2) log(tan x) dx is :

int_(0)^(pi//4) cos^(2) x dx

int_0^(pi//2) log(tan x)dx =

int (4)/(sin^2 x cos^(2) x)dx is equal to :

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2015-QUESTION BANK
  1. Evalute |(cos 15^(@) sin 15^(@)),(sin 75^(@) cos 75^(@))|

    Text Solution

    |

  2. A man takes a step forward with probability 0.4 and one step backward ...

    Text Solution

    |

  3. int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to

    Text Solution

    |

  4. Area bounded by y = x^(3) ,y = 8 and x = 0 is .

    Text Solution

    |

  5. Let vec(a) =hat(i) +2hat(j) +hat(k),vec(b) =hat(i) -hat(j) +hat(k) and...

    Text Solution

    |

  6. The mean devision from the data 3,10,10,4 ,7,10,5 is

    Text Solution

    |

  7. The probability distribution of X is : {(X:,0,1,2,3),(P(X),0.2,k,k,...

    Text Solution

    |

  8. If the function g(x) is defined by g(x) = (x^(200))/(200) +(x^(199...

    Text Solution

    |

  9. A box contains 6 red numbers from 1 through 6 and 4 white marbles ...

    Text Solution

    |

  10. lim(x rarr 0) (1- cos x)/(x^(2)) is :

    Text Solution

    |

  11. f(x)= {(3x-8,"If " x le 5),(2k,"if" x gt 5):} is continuous, find k

    Text Solution

    |

  12. If f(x)=2x^(2), find (f(3.8)-f(4))/(3.8-4) :

    Text Solution

    |

  13. If x = ct and y = c/t , find (dy)/(dx) at t = 2 .

    Text Solution

    |

  14. A balloon which always remains spherical is being inflated by pumping ...

    Text Solution

    |

  15. int (sin^(2)x)/(1+cos x) dx is equal to

    Text Solution

    |

  16. Evaluate : int e^(x) ((1 + sin x)/( 1+ cos x)) dx

    Text Solution

    |

  17. If 1, w, w^(2) are three cube roots of unity, then (1 - w+ w^(2)) (1 +...

    Text Solution

    |

  18. Solve for x tan^(-1) ((1-x)/(1+x))=(1)/(2) tan^(-1)x, x gt 0

    Text Solution

    |

  19. The system of linear equations x+y+z = 6, x+2y+3z = 10 and x + 2y +az ...

    Text Solution

    |

  20. The value of tan (1^(@)) + tan (89^(@)) is

    Text Solution

    |