Home
Class 12
MATHS
Integrate the functions (sin^(8)x-cos^...

Integrate the functions
`(sin^(8)x-cos^(8)x)/(1-2sin^(2)xcos^(2)x)`

Text Solution

Verified by Experts

The correct Answer is:
`-1/2sin2x+C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT TELUGU|Exercise EXERCISE 7.11|21 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions (sin^(-1)x)^(2)

Integrate the functions xcos^(-1)x

Integrate the functions sqrt(sin2x)cos2x

int (sin^(8)x-cos^(8)x)/(1-2sin^(2)x+2sin^(4)x) dx =

Integrate the functions sin^(-1)((2x)/(1+x^(2)))

Integrate the functions (xcos^(-1)x)/(sqrt(1-x^(2)))

Integrate the function 1/(sqrt(8+3x-x^(2)))

Integrate the functions cot x log sin x

Integrate the functions 1/(cos^(2)x(1-tanx)^(2))

NCERT TELUGU-INTEGRALS-EXERCISE 7.12
  1. Integrate the functions (e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx))

    Text Solution

    |

  2. Integrate the functions (cosx)/(sqrt(4-sin^(2)x))

    Text Solution

    |

  3. Integrate the functions (sin^(8)x-cos^(8)x)/(1-2sin^(2)xcos^(2)x)

    Text Solution

    |

  4. Integrate the functions 1/(cos(x+a)cos(x+b))

    Text Solution

    |

  5. Integrate the functions (x^(3))/(sqrt(1-x^(8)))

    Text Solution

    |

  6. Integrate the functions (e^(x))/((1+e^(x))(2+e^(x)))

    Text Solution

    |

  7. Integrate the functions 1/((x^(2)+1)(x^(2)+4))

    Text Solution

    |

  8. Integrate the functions cos^(3)xe^(logsinx)

    Text Solution

    |

  9. Integrate the functions e^(3logx)(x^(4)+1)^(-1)

    Text Solution

    |

  10. Integrate the functions f'(ax+b)[f(ax+b)]^(n)

    Text Solution

    |

  11. Integrate the functions 1/(sqrt9sin^(3)xsin(x+alpha))

    Text Solution

    |

  12. Integrate the functions (sin^(-1)sqrtx-cos^(-1)sqrtx)/(sin^(-1)sqrtx...

    Text Solution

    |

  13. Integrate the functions sqrt((1-sqrtx)/(1+sqrtx))

    Text Solution

    |

  14. Integrate the functions (2+sin2x)/(1+cos2x)e^(x)

    Text Solution

    |

  15. Integrate the functions (x^(2)+x+1)/((x+1)^(2)(x+2))

    Text Solution

    |

  16. Integrate the functions tan^(-1)sqrt((1-x)/(1+x))

    Text Solution

    |

  17. Integrate the functions (sqrt(x^(2)+1)[log(x^(2)+1)-2logx])/(x^(4))

    Text Solution

    |

  18. Evaluate the definite integrals int(pi/2)^(pi)e^(x)((1-sinx)/(1-cosx...

    Text Solution

    |

  19. Evaluate the definite integrals int(0)^(pi/4)(sinxcosx)/(cos^(4)x+si...

    Text Solution

    |

  20. Evaluate the definite integrals int(0)^(pi/2)(cos^(2)xdx)/(cos^(2)x+...

    Text Solution

    |