Home
Class 12
MATHS
Evaluate: overset(pi/4)underset(0)intlog...

Evaluate: `overset(pi/4)underset(0)intlog(1+tan theta)d theta`.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

    UNITED BOOK HOUSE|Exercise EXERCISE|45 Videos
  • SET (11)

    UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

Evaluate: overset(pi//4)underset(0) int(Sectheta d theta)/(1+2sin^2 theta)

Evaluate: overset(3pi/4)underset(pi/4)int theta/(1+sintheta)d theta

Evaluate: int_(0)^((pi)/(4))log(1+tantheta)d theta

Evalute: int_(0)^((pi)/(4)) log(1+tantheta)d theta .

Prove that overset(pi//2)underset(0)intlog(sinx)dx = -pi/2 log2

Evaluate: int_(-pi/2)^(pi/2)log((a-sin theta)/(a+sin theta)) d theta,a >0

Evaluate: int_(-pi/2)^(pi/2)log((a-sin theta)/(a+sin theta)) d theta,a >0

int_(0)^((pi)/(4))tan^(3)thetad theta

int_(0)^(pi)(sin4theta)/(sintheta)d theta=0

int (tan theta d theta)/(1-sin theta)

UNITED BOOK HOUSE-QUESTION PAPER 2017-EXERCISE
  1. Solve: tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)(8/31).

    Text Solution

    |

  2. If A=([2,-1],[1,3]) then show that A^2-5A+7I2=0 hence find A^(-1)

    Text Solution

    |

  3. Solve by Cramer's rule: x+3y= 4,y+3z = 7, 4x+z= 6.

    Text Solution

    |

  4. Prove that |[2ab,a^2,b^2],[a^2,b^2,2ab],[b^2,2ab,a^2]|=-(a^3+b^3)^2.

    Text Solution

    |

  5. If f(x)= ((a+x)/(b+x))^(a+b+2x) then prove that f'(0)= [2log(a/b)+(b...

    Text Solution

    |

  6. Evaluate: int (xdx)/(x^4-x^2+1)

    Text Solution

    |

  7. Solve: ydx-(x+2y^2)dy=0.

    Text Solution

    |

  8. In a certain culture the rate of increment of bacterial at any instant...

    Text Solution

    |

  9. The position vectors of four points A,B,C and D are 4hati+8 hat j+12ha...

    Text Solution

    |

  10. If a vector 2 i ^ +3 j ^ ​ +8 k ^ is perpendicular to the vecto...

    Text Solution

    |

  11. Evaluate: overset(pi/4)underset(0)intlog(1+tan theta)d theta.

    Text Solution

    |

  12. find the value of overset(2)underset(1)int 5x^2dx.

    Text Solution

    |

  13. A man is known to speak the truth 3 out of 4 times. HE throws an unbia...

    Text Solution

    |

  14. If the sum of the mean and variance of a binomial distribution for 5 r...

    Text Solution

    |

  15. Solve the following linear programming problem by graphical method and...

    Text Solution

    |

  16. Using calculus, show that the maximum value of the function (1/x)^x is...

    Text Solution

    |

  17. Using integration, prove that the area of the closed region bounded by...

    Text Solution

    |

  18. Solve: xdy-ydx= sqrt(x^2+y^2)dx.

    Text Solution

    |

  19. Find the shortest distance between the straight lines vecr = -4hati+...

    Text Solution

    |

  20. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |