Home
Class 12
MATHS
The value of int0^(pi//4)(sinx+cosx)/(co...

The value of `int_0^(pi//4)(sinx+cosx)/(cos^2x+sin^4x)dx` is

A

`1/2log((sqrt3-1))/sqrt2`

B

`1/(2sqrt3)log((sqrt3+1)/sqrt2)+pi/4`

C

`1/2log((sqrt3+1)/sqrt2)+pi/4`

D

`1/sqrt3log((sqrt3+1)/sqrt2)+pi/4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos

  • CONIC SECTIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos

  • DETERMINANTS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |13 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2)(sinx cosx)/(1+sin^(4)x)dx=

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

Find the value of int_0^(pi/2)(sinx.cosx)/((a^2cos^2x+b^2sin^2x)^2)dx

The value of int_(0)^(pi//2) (sin^(3)x cos x)/(sin^(4)x+ cos^(4)x )dx is

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

The value of int_(0)^(pi)(|x|sin^(2)x)/(1+2+cosx|sinx)dx is equal to

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

int_(0)^((pi)/(2))(x sin x cos x)/(cos^(4)x+sin^(4)x)dx=

Evaluate: int_0^(pi//2)x/(sinx+cosx)dx

BITSAT GUIDE-DEFINITE INTEGRALS AND ITS APPLICATIONS-BITSAT Archives
  1. The value of int0^(pi//4)(sinx+cosx)/(cos^2x+sin^4x)dx is

    Text Solution

    |

  2. The value of x gt 1 satisfying the equation int(1)^(x) tlnt dt=(1)/(...

    Text Solution

    |

  3. If int0^25e^(x-[x])dx=k(e-1), then the value of k is equal to

    Text Solution

    |

  4. The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y), where x,yg...

    Text Solution

    |

  5. int(1)^(10pi)([sec^(-1)x]+[cot^(-1)x])dx, where [.] denotes the greate...

    Text Solution

    |

  6. Determine the area of the figure bounded by two branches of the curve ...

    Text Solution

    |

  7. int0^(pi//2)(sin^ntheta)/(sin^ntheta+cos^ntheta)dtheta is equal to

    Text Solution

    |

  8. int0^(pi) cos^(101)x dx is equal to

    Text Solution

    |

  9. underset(nrarroo)lim[1/(n+1)+1/(n+1)+...+1/(6n)] equals

    Text Solution

    |

  10. If d/(dx){phi(x)}=f(x)," then "int1^2f(x)dx is equal to

    Text Solution

    |

  11. int0^2|1-x|dx is equal to

    Text Solution

    |

  12. The area bouded by X-axis and the curve y -= sinx and x = 0, x=pi is

    Text Solution

    |

  13. int0^1|5x-3|dx

    Text Solution

    |

  14. The area of the region bounded by y=|x-1| and y =1 is

    Text Solution

    |

  15. int (-1)^(2) |x|^(3) dx is equal to

    Text Solution

    |

  16. int (-pi//2)^(pi//2) sin | x | dx is equal to

    Text Solution

    |

  17. The area (in sq units) of the region bounded by the curve 2x=y^2-1 and...

    Text Solution

    |

  18. int0^8|x-5|dx is equal to

    Text Solution

    |

  19. If l1=int0^12^xdx,l2=int0^12^(x^3)dx,,l3=int1^22^(x^2)dx,l4=int1^22^(x...

    Text Solution

    |

  20. The area of the region satisfying xle2,yle|x| and xge0 is

    Text Solution

    |

  21. int0^(pi//4)log(1+tanx)dx is equal to

    Text Solution

    |