Home
Class 12
MATHS
Evaluate : int0^(pi/4)(sinxcosx)/(sin^4x...

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

A

`(pi)/(3)`

B

`(pi)/(8)`

C

`(pi)/(4sqrt(3))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

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

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

int(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: int_0^(pi/4)(sinx+cosx)/(9+16sin2x)dx

Evaluate: int_0^(pi/4)(sinx+cosx)/(9+16sin2x)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

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
  1. int(1)^(10pi)([sec^(-1)x]+[cot^(-1)x])dx, where [.] denotes the greate...

    Text Solution

    |

  2. Evaluate int(cos(cos ^(-1) alpha))^(sin(sin^(-1)beta))|(cos (cos^(-1)x...

    Text Solution

    |

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

    Text Solution

    |

  4. If I(n)=overset(pi//4)underset(0)int tan ^(n) x dx, lim(n to oo) n(I(n...

    Text Solution

    |

  5. int(-pi)^(pi) ( e^(sin x ))/( e^(sinx) + e^(-sinx))dx is equal to

    Text Solution

    |

  6. If I=int-1^1 ([x^2]+log((2+x)/(2-x)))dx where denotes the greatest i...

    Text Solution

    |

  7. if I = int(-3) ^2 (|x+1|+|x+2|+|x-1|)dx

    Text Solution

    |

  8. if I = int0 ^1.7 [x^2]dx, then I equal is

    Text Solution

    |

  9. I1=int0^(pi/2)ln(sinx)dx ,I2=int(-pi/4)^(pi/4)ln(sinx+cosx)dxdot Then ...

    Text Solution

    |

  10. underset(0)overset(1)intlnsin(pi/2x) dx

    Text Solution

    |

  11. If int(1/2)^2 1/x cosec^(101)(x-1/x)dx=k then the value of k is :

    Text Solution

    |

  12. The value of overset(16pi//3)underset(0)int |sinx|dx is

    Text Solution

    |

  13. The value of int(0)^(1000)e^(x-[x])dx, is ([.] denotes the greatest in...

    Text Solution

    |

  14. Evaluate (int(0)^(n)[x]dx)/(int(0)^(n){x}dx) (where [x] and {x} are in...

    Text Solution

    |

  15. Evaluate: inta^b e^x dx using limit of sum

    Text Solution

    |

  16. Evaluate: inta^bsinx dx using limit of sum

    Text Solution

    |

  17. lim(n to oo)(1)/(n)(1+sqrt((n)/(n+1))+sqrt((n)/(n+2))+....+sqrt((n)/(4...

    Text Solution

    |

  18. Evaluate lim(n->oo)1/nsum(r=n+1)^(2n)loge(1+r/n)

    Text Solution

    |

  19. The value of lim(n to oo)((1)/(1^(3)+n^(3))+(2^(2))/(2^(3)+n^(3))+.......

    Text Solution

    |

  20. Evaluate : lim(n to oo)[(sqrt(n))/((3+4sqrt(n))^(2))+(sqrt(n))/(sqrt(2...

    Text Solution

    |