Home
Class 12
MATHS
Integrate the functions (x^(3))/(sqrt(...

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

Text Solution

Verified by Experts

The correct Answer is:
`1/4sin^(-1)(x^(4))+C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT TAMIL|Exercise EXERCISE 7.11|21 Videos

  • DISCRETE MATHEMATICS

    NCERT TAMIL|Exercise Exercise 12.3 (Choose the correct or the most suitable answer from the given four alternatives)|20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions (4x^(3))/(sqrt(1-x^(8)))

Integrate the functions 1/(x-x^(3))

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

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

Integrate the functions (3x^(2))/(sqrt(x^(6)+a^(6)))

Integrate the functions (1)/(sqrt(16-25x^(2)))

Integrate the function (x+2)/(sqrt(4x-x^(2)))

Integrate the function (5x+3)/(sqrt(x^(2)+4x+10))

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

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

NCERT TAMIL-INTEGRALS-EXERCISE 7.12
  1. int (sin^(8) x - cos ^(8) x)/( 1 - 2 sin^(2) x cos^(2) x) dx is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Integrate the functions (1)/(sqrt(sin^(3)xsin(x+alpha)))

    Text Solution

    |

  10. Integrate the functions (sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)s...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Integrate the functions tan^(-1)x

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Evaluate the definite integrals int(0)^((pi)/(2))(cos^(2)xdx)/(cos^...

    Text Solution

    |

  19. Evaluate the definite integrals int((pi)/(6))^((pi)/(3))(sinx+cosx)...

    Text Solution

    |

  20. Evaluate the definite integrals int(0)^(1)(dx)/(sqrt(1+x)-sqrtx)

    Text Solution

    |