Home
Class 12
MATHS
If int0^pi x f(sinx) dx=A int0^(pi/2) f(...

If `int_0^pi x f(sinx) dx=A int_0^(pi/2) f(sinx)dx`, then `A` is
(A) `pi/2`
(B) `pi`
(C) `0`
(D) `2pi`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA ENGLISH|Exercise All Questions|282 Videos

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

int_0^(pi/2) cosx/(1+sinx)dx

int_0^(pi/2) (dx)/(4+sinx)

Show that int_0^pixf(sinx)dx=pi/2int_0^pif(sinx)dxdot

Find int_0^(pi/2)dx/(1+sinx)

Show that int_0^pifx(sinx)dx=pi/2int_0^pif(sinx)dxdot

int_(0)^(pi) x log sinx dx

int_(0)^(pi)(x)/(1+sinx)dx .

int_0^pi tanx/(sinx+tanx)dx

int_(0)^(pi) x log sinx\ dx

int_(0)^((14pi)/3) |sinx|dx

RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. If f(a+b-x)=f(x) , then prove that inta^b xf(x)dx=((a+b)/2)inta^bf(x)...

    Text Solution

    |

  2. Property 8: If f(x) is a continuous function defined on [-a; a] then i...

    Text Solution

    |

  3. If int0^pi x f(sinx) dx=A int0^(pi/2) f(sinx)dx, then A is (A) pi/2 ...

    Text Solution

    |

  4. Evaluate the following integrals as limit of sum: int0^2(x+4)dx

    Text Solution

    |

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

    Text Solution

    |

  6. Evaluate the following integrals as limit of sum: int0^3(x+4)dx

    Text Solution

    |

  7. Evaluate the following integrals as limit of sum: int1^3(3x-2)dx

    Text Solution

    |

  8. Evaluate the following integrals as limit of sum: int1^3(3x-2)dx

    Text Solution

    |

  9. Evaluate int(x+1)""dx

    Text Solution

    |

  10. Evaluate: int3^5(2-x)dx

    Text Solution

    |

  11. Evaluate the definite integrals as limit of sums intz^1x^2dx

    Text Solution

    |

  12. Evaluate the following integrals as limit of sum: int1^2(x^2-1)dx

    Text Solution

    |

  13. Evaluate the following integrals : int0^2(x+3)dx

    Text Solution

    |

  14. Evaluate the following integrals : int(-1)^1(x+3)dx

    Text Solution

    |

  15. Evaluate the following integrals as limit of sum: int1^3(2x+3)dx

    Text Solution

    |

  16. Evaluate the following integrals int1^3(2x+3)dx

    Text Solution

    |

  17. Evaluate the following integrals as limit of sum: int0^2(x^2+1)dx

    Text Solution

    |

  18. Evaluate the following integrals : int2^3(2x^2+1)dx

    Text Solution

    |

  19. Evaluate the following integrals as limit of sum: int0^2(x^2+4)dx

    Text Solution

    |

  20. Evaluate the following integrals as limit of sum: int1^4(x^2-x)dx

    Text Solution

    |