Home
Class 12
MATHS
Some standard forms of integration : ...

Some standard forms of integration :
`intx^(2)sqrt(x^(6)-1)dx=.......+c`

A

`(1)/(6)(x^(3)sqrt(x^(6)-1)+cos^(-1)x^(3))`

B

`(1)/(6)(x^(3)sqrt(x^(6)-1)+sin^(-1)x^(3))`

C

`(1)/(6)(x^(3)sqrt(x^(6)-1)+log|x^(3)+sqrt(x^(6)-1)|)`

D

`(1)/(6)(x^(3)sqrt(x^(6)-1)-log|x^(3)+sqrt(x^(6)-1)|)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-A)|6 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-B)|4 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Objective Type Questions)|15 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

Some standard forms of integration : intsqrt(x^(2)-4x+2)dx=..........+c

Some standard forms of integration : intsqrt(x^(2)+7)dx=..........+C

Some standard forms of integration : intsqrt(1-4x-x^(2))dx=.......+c

Some standard forms of integration : intsqrt(3-x^(2))dx=...............+c (where |x|ltsqrt3 )

Some standard forms of integration : intsinxsqrt(4-cos^(2)x)dx=..........+c

intx^(3).e^(x^(2))dx=..........+c

Method of integration by parts : int sqrt(xe)^(sqrt(x))dx=....

Fundamental theorem of definite integral : int_(-1)^(2)sqrt(5x+6)dx=........

Integrate the following function : int(x^(2))/(sqrt(x^(6)-1))dx

KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. inte^(2x)(log2x+(1)/(2x))dx=..........+c

    Text Solution

    |

  2. intx^(3).e^(x^(2))dx=..........+c

    Text Solution

    |

  3. Some standard forms of integration : intx^(2)sqrt(x^(6)-1)dx=.........

    Text Solution

    |

  4. Some standard forms of integration : intsqrt(x^(2)-4x+2)dx=............

    Text Solution

    |

  5. Some standard forms of integration : intsqrt(1-4x-x^(2))dx=.......+c

    Text Solution

    |

  6. Some standard forms of integration : intsqrt(3-x^(2))dx=...............

    Text Solution

    |

  7. Some standard forms of integration : intsinxsqrt(4-cos^(2)x)dx=........

    Text Solution

    |

  8. Some standard forms of integration : intsqrt(x^(2)+7)dx=..........+C

    Text Solution

    |

  9. Definite integration as the limit of a sum : lim(ntooo)sum(r=1)^(n)(...

    Text Solution

    |

  10. Definite integration as the limit of a sum : lim(ntooo)(1^(p)+2^(p)+...

    Text Solution

    |

  11. Definite integration as the limit of a sum : lim(ntooo)sum(r=1)^(4n)...

    Text Solution

    |

  12. Definite integration as the limit of a sum : lim(ntooo)sum(k=0)^(n)(...

    Text Solution

    |

  13. Definite integration as the limit of a sum : lim(ntooo)[(1)/(n^(2))s...

    Text Solution

    |

  14. Definite integration as the limit of a sum : lim(ntooo)sum(K=1)^(n)(...

    Text Solution

    |

  15. Definite integration as the limit of a sum : lim(ntooo)[(n)/(1+n^(2)...

    Text Solution

    |

  16. Definite integration as the limit of a sum : lim(ntooo)[(1)/(n)+(1)/...

    Text Solution

    |

  17. Definite integration as the limit of a sum : lim(ntooo)(1)/(n)+(1)/(...

    Text Solution

    |

  18. Definite integration as the limit of a sum : lim(ntooo)[(n!)/(n^(n)...

    Text Solution

    |

  19. Definite integration as the limit of a sum : lim(ntooo)(1)/(n)sum(r...

    Text Solution

    |

  20. Definite integration as the limit of a sum : lim(ntooo)[(1)/(n)+(n^(...

    Text Solution

    |