Home
Class 12
MATHS
Evaluate: int0^(pi/2) (sin2x)/(sin^4x+co...

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

Promotional Banner

Topper's Solved these Questions

  • Properties and Application of definite Integrals

    A DAS GUPTA|Exercise EXERCISE|62 Videos

  • Progression, Related Inequalities and Series

    A DAS GUPTA|Exercise Exercise|235 Videos

  • Recap of Facts and Formulae

    A DAS GUPTA|Exercise Exercise|9 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

Evaluate the following definite integrals: int_(0)^(pi//2)(sin 2x)/(sin^(4)x+cos^(4)x)dx

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

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

Evaluate: int_0^(pi//2)1/(4sin^2x+5cos^2x)dx

(i) int_0^(pi//2) (sin^3x)/(sin^3x+cos^3x) dx (ii) int_0^(pi//2) (cos^3x)/(sin^3x+cos^3x) dx (iii) int_0^(pi//2) (sin^4x)/(sin^4x+cos^4x) dx (iv) int_0^(pi//2) (cos^5x)/(sin^5x+cos^5x) dx (v) int_0^(pi//2) (sin^5x)/(sin^5x+cos^5x) dx

A DAS GUPTA-Properties and Application of definite Integrals-EXERCISE
  1. It is known that f(x) is an odd function in the interval [p/2, p/2] an...

    Text Solution

    |

  2. If f(a+x)=f(x), then prove that inta^(n a)f(x)dx=(n-1)int0^af(x)dx whe...

    Text Solution

    |

  3. Evaluate: int0^(pi/2) (sin2x)/(sin^4x+cos^4x)dx

    Text Solution

    |

  4. Let a, b, c be non-zero real numbers such that ; int0^1 (1 + cos^8 x)(...

    Text Solution

    |

  5. If f(X) is continuous and ninNthen the value of int-2^2{f(x)-f(-x)}x^...

    Text Solution

    |

  6. An extremum value of y=int0^x(t-1)(t-2)dt is : 5/6 (b) 2/3 (c) 1 ...

    Text Solution

    |

  7. An AC voltage is given by E=E(0) sin(2pit)/(T). Then the mean value of...

    Text Solution

    |

  8. If g(x)=int0^xcos^4tdt , then g(x+pi) equals g(x)+g(pi) (b) g(x)-g(pi...

    Text Solution

    |

  9. The value of int(-pi)^(pi)(2x(1+sinx))/(1+cos^(2)x)dx is

    Text Solution

    |

  10. State whether the statements are true or false.If y=int0^xf(t)dt .Then...

    Text Solution

    |

  11. State whether the statements are true or false.int0^(pi/2)dx/(sqrt(sin...

    Text Solution

    |

  12. If int0^a{f(x)+f(-x)}dx=int-a^aphi(x)dxthen phi(x)=.

    Text Solution

    |

  13. Evaluate: int0^pi (cos x)/(1+sinx)^2 dx

    Text Solution

    |

  14. The value int(-pi/4)^(pi/4)x^2sin^-1xdx=.

    Text Solution

    |

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

    Text Solution

    |

  16. The value of int0^(pi/2)sin2x.log tanxdx is

    Text Solution

    |

  17. If int0^1e^t/(t+1) dt=a, then int(b-1)^b e^(-t)/(t-b-1) dt=

    Text Solution

    |

  18. Evaluateint(-pi/2)^(pi/2)(sin2x)/(1+cos^3x)dx

    Text Solution

    |

  19. If f is a continuous function on the interval [a,b] and there exists ...

    Text Solution

    |

  20. If l(n)=int(1)^(e)(log x)^(n) d x, "then" l(n)+nl(n-1) equal to

    Text Solution

    |