Home
Class 12
MATHS
Using properties of definite integrals, ...

Using properties of definite integrals, prove the following : `int_o^pi(xtanx)/(secx\ cos e c\ x)\ dx=(pi^2)/4`

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integral: int_0^pi(xtanx)/(secx\ cos e c\ x)dx

By using the properties of definite integrals, evaluate the integrals int_0^pi (xdx)/(1+sinx)

By using the properties of definite integrals, evaluate the integrals int_0^(2pi)cos^5x dx

Using properties of definite integrals, evaluate: int_(0)^(pi//2) (sin x - cos x)/(1+sin x cos x) dx

By using the properties of definite integrals, evaluate the integrals int_0^4 |x-1|dx

int(secx)/(1+c o s e c x)dx

By using the properties of definite integrals, evaluate the integrals int_-5^5|x+2|dx

By using the properties of definite integrals, evaluate the integrals int_0^(pi/2) cos^2x dx

Evaluate: int_0^pi(xtanx)/(secx+tanx)\ dx

Evaluate: int_0^pi(xtanx)/(secx+tanx)\ dx

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the projection of vec b+ vec c on vec a where vec a=2 hat i-\...

    Text Solution

    |

  2. Evaluate int0^2(x^2+\ 2x+1)dx as limit of a sum.

    Text Solution

    |

  3. Using properties of definite integrals, prove the following : into...

    Text Solution

    |

  4. Evaluate: intcos4x cos3x\ dx

    Text Solution

    |

  5. Evaluate : int(1+x^2)/(1+x^4)dx

    Text Solution

    |

  6. A card is drawn at random from a well-shuffled pack of 52 cards. Fi...

    Text Solution

    |

  7. Solve the following differential equation : xcosy\ dy=(x e^xlogx+e^x)...

    Text Solution

    |

  8. If A=[(2,-3),(3,4)], show the A^2-6A+17I=0. Hence find A^-1

    Text Solution

    |

  9. An urn contains 7 red and 4 blue balls. Two balls are drawn at rand...

    Text Solution

    |

  10. Find the equation of the sphere passing through the points (3,0,0), (0...

    Text Solution

    |

  11. Find the equation of the plane which is perpendicular to the plane ...

    Text Solution

    |

  12. A particle starting with initial velocity of 30 m/sec moves with a u...

    Text Solution

    |

  13. Find the value of lambda which makes the vectors vec a ,\ vec b an...

    Text Solution

    |

  14. A ball projected with a velocity of 28 m/sec has a horizontal range...

    Text Solution

    |

  15. Find the resultant of two velocities 4 m/sec and 6 m/sec inclined to...

    Text Solution

    |

  16. Show that a right circular cone of least curved surface and given vo...

    Text Solution

    |

  17. Find the point on the curve x^2=8y which is nearest to the point...

    Text Solution

    |

  18. Solve the following differential equation : (dy)/(dx)+2y=6e^x

    Text Solution

    |

  19. Form the differential equation of the family of curves y=Acos2x+Bsi...

    Text Solution

    |

  20. Using matrices, solve the following system of linear equations: 2"x...

    Text Solution

    |