Home
Class 12
MATHS
Find the following integrals int0to(pi...

Find the following integrals
`int_0to(pi/2)(cos^(5)x)/(sin^(5)x+cos^(5)x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/4`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION XII MOST IMPORTANT QUESTIONS FOR PRACTICE)|17 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_(0)^(pi//2)(cos^(5)x)/(sin^(5)x+cos^(5)x)dx

Evaluate the following integrals : int(sin^(6)x+cos^(6)x)/(sin^(2)xcos^(2)x)dx

Evaluate the following integrals: underset(0)overset(pi//2)int(cos^5x)/(sin^5x+Cos^5x)dx

Evaluate the following integrals : int_(-pi//2)^(pi//2)sin^(5)x dx

BETTER CHOICE PUBLICATION-INTEGRALS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Evaluate : int0^(pi/2) (sin^(3/2)x)/(sin^(3/2)x+cos^(3/2)x)dx.

    Text Solution

    |

  2. Find the following integrals int(0)^(pi//2)(sin^(4)x)/(sin^(4)x+cos^...

    Text Solution

    |

  3. Find the following integrals int0to(pi/2)(cos^(5)x)/(sin^(5)x+cos^(5...

    Text Solution

    |

  4. Find the following integrals int(cosx)/(cos(x-alpha))dx

    Text Solution

    |

  5. Find the following integrals int(cosx)/(cos(x+alpha))dx

    Text Solution

    |

  6. Find the following integrals int e^(x)(sinx+cosx)dx

    Text Solution

    |

  7. Evaluate the following integrals: int e^(x)(tanx+logsecx)dx

    Text Solution

    |

  8. int e^x (cot x + log sin x)dx is equal to :

    Text Solution

    |

  9. Evaluate the following integrals: int 2/((1-x)(1+x^(2)))dx

    Text Solution

    |

  10. Find the following integrals int 7/((x+2)(x^(2)+4))

    Text Solution

    |

  11. Find the following integrals int(2)^(8)|x-5|dx

    Text Solution

    |

  12. Find the following integral: int 1/(1+tanx) dx

    Text Solution

    |

  13. Find the following integrals int 1/(1-tanx)dx

    Text Solution

    |

  14. Evaluate the following integrals : int1/(1+cosx)dx

    Text Solution

    |

  15. Find the following integrals int xlog x dx

    Text Solution

    |

  16. Evaluate inte^(x)((1+sinx)/(1+cosx))dx

    Text Solution

    |

  17. Using properties of definite integral prove that int0^2 xsqrt(2-x)dx= ...

    Text Solution

    |

  18. Prove that : int(0)^(1)x(1-x)^(n)dx=1/((n+1)(n+2))

    Text Solution

    |

  19. Evaluate the following integrals : int (1-e^(x))/(1+e^(x))dx

    Text Solution

    |

  20. Evaluate the following cards: int e^(x)cos 3x dx

    Text Solution

    |