Home
Class 12
MATHS
Using the properties of definite integra...

Using the properties of definite integral Evaluate : `int_0^(pi) (xtanx)/(1 + sinx) dx `

Text Solution

Verified by Experts

`pi^2/4`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY OF A FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|21 Videos

  • DETERMINANTS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|51 Videos

Similar Questions

Explore conceptually related problems

Using the properties of definite integral Evaluate : int_0^(pi/2) sinx /(sinx + cosx) dx

Using the properties of definite integral Evaluate : int_(pi/6)^(pi/3) 1/(1 + sqrttanx) dx

Using the properties of definite integral,show that int_0^(pi/2) log tanx dx = 0

Evaluate: int_0^pi(xtanx)/(s e c x+tanx)dx

Using properties of definite integrals,evaluate int_(0)^( pi)(xdx)/(4-cos^(2)x)

Using the properties of the definite integral, prove that int_0^(pi/2)(sin xdx)/(sin x + cos x)=pi/4

By using the properties of definite integrals, evaluate the integrals int_(0)^( pi)(xdx)/(1+sin x)

By using the properties of definite integrals, evaluate the integrals 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)^(1)x(1-x)^(n)dx

MAHAVEER PUBLICATION-DEFINITE INTEGRAL-QUESTION BANK
  1. int1^2 x/((x+1)(x+2))dx

    Text Solution

    |

  2. Find the Definite Integrals : int1^2 e^x((x-1)/x^2) dx

    Text Solution

    |

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

    Text Solution

    |

  4. Find the Definite Integrals : int0^1 x^2e^(x^3) dx

    Text Solution

    |

  5. Evaluate the following integral: int0^1(tan^(-1)x)/(1+x^2)dx

    Text Solution

    |

  6. int0^(pi/2) sqrt(sinx)/(sqrt(sinx)+sqrt(cosx))dx

    Text Solution

    |

  7. Using the properties of definite integral Evaluate : int0^(pi/2) sinx ...

    Text Solution

    |

  8. Using the properties of definite integral Evaluate : int(pi/6)^(pi/3) ...

    Text Solution

    |

  9. Using the properties of definite integral Evaluate : int0^(pi) x /(1 +...

    Text Solution

    |

  10. By using the properties of definite integrals, evaluate the integra...

    Text Solution

    |

  11. Using the properties of definite integral Evaluate : int0^3 x sqrt(3-x...

    Text Solution

    |

  12. By using the properties of definite integrals, evaluate the integra...

    Text Solution

    |

  13. By using the properties of definite integrals, evaluate the integra...

    Text Solution

    |

  14. Evaluate int0^(pi/2) (sinx-cosx)/(1+sinxcosx)dx

    Text Solution

    |

  15. Using the properties of definite integral Evaluate : int0^(pi) (xtanx)...

    Text Solution

    |

  16. Evaluate : int(0)^(pi) (x sin x )/(1 + sin x ) dx

    Text Solution

    |

  17. Evaluate lim(nrarroo) [1/n + 1/(n+1) + 1/(n+2) +…+ 1/(3n)]

    Text Solution

    |

  18. lim(n rarr oo)(1+2^(4)+3^(4)+...+n^(4))/(n^(5))

    Text Solution

    |

  19. underset(nrarroo)lim[(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+....

    Text Solution

    |

  20. Evaluate lim(nrarroo) n [1^2/(n^3+1^3) + 2^2/(n^3+2^3) + 3^2/(n^3+3^3)...

    Text Solution

    |