Home
Class 12
MATHS
Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4...

Evaluate : `int_0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx`

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 : int_0^(pi/4)(sinxcosx)/(sin^4x+cos^4x)\ dx

Evaluate: int_0^(pi//2)(xsinx cos\ x)/(sin^4x+cos^4x)dx

Evaluate: int_0^(pi/2) (sin2x)/(sin^4x+cos^4x)dx

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

Evaluate the following integral: int_0^(pi//2)(xsinxcosx)/(sin^4x+cos^4x)dx

Evaluate : int_0^(pi/2)(sin^2x)/(sin x+cos x)dx

Evaluate : int_(0)^((pi)/(2)) (x sin x.cosx)/(sin^(4)x+cos^(4)x)dx

STATEMENT-1 : int_(0)^((pi)/(2))(xsinxcosx)/(sin^(4)x+cos^(4)x)dx=(pi^(2))/(32) and STATEMENT-2 : int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx

Evaluate: int_0^(pi//2)(sin x)/(1+cos^2x)dx

int_0^(pi//4)(x^2(sin2x-cos2x))/((1+sin2x)cos^2x)dx

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. If the binary operation "." on the set of integers Z , is defined by...

    Text Solution

    |

  2. If int0^1(3x^2+2x+k)dx=0, find the value of k

    Text Solution

    |

  3. Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx

    Text Solution

    |

  4. Evaluate: int0^(pi/2)2sinxcosxtan^(-1)(sin"x")" dx"

    Text Solution

    |

  5. Find the projection of vec a on vec b , if vec a . vec b =8 and vec b=...

    Text Solution

    |

  6. Evaluate : int(sec^2x)/(3+tanx)\ dx

    Text Solution

    |

  7. Using principal value, evaluate the following: sin^(-1)(sin ((3pi)/5...

    Text Solution

    |

  8. Write the value of the determinant |[2, 3, 4],[ 5, 6, 8],[ 6x,9x, 12 x...

    Text Solution

    |

  9. If matrix A=[1\ 2\ 3],\ write A A', where A ' is the transpose of m...

    Text Solution

    |

  10. Find (dy)/(dx), if y=sin^(-1)[xsqrt(\ 1-x)-\ sqrt(x)\ sqrt(1-x^2)\ ]\

    Text Solution

    |

  11. Show that the function f defined as follows, is continuous at x=2 , ...

    Text Solution

    |

  12. Write the cartesian equation of the following line given in vector ...

    Text Solution

    |

  13. Write the position vector of the mid-point of the vector joining th...

    Text Solution

    |

  14. If vec a\ .\ vec a=0 and vec a\ . vec b=0, then what can be conclud...

    Text Solution

    |

  15. If f: R rarr R is defined by f(x)=3x+2,\ define f\ [f(x)]\

    Text Solution

    |

  16. Write the principal value of tan^-1 (-1)

    Text Solution

    |

  17. Write the values of x-y+z from the following equation: [[x+y+z], [x+z ...

    Text Solution

    |

  18. Write the order of the product matrix : [[1], [2], [3]] [[2,3,4]]

    Text Solution

    |

  19. If |[x, x],[ 1, x]|=|[3, 4],[ 1, 2]|, write the positive value of x

    Text Solution

    |

  20. Evaluate: int((1+logx)^2)/x\ dxdot

    Text Solution

    |