Home
Class 12
MATHS
int(x+(1)/(x))^(n+5).((x^(2)-1)/(x^(2)))...

`int(x+(1)/(x))^(n+5).((x^(2)-1)/(x^(2)))dx` is equal to

A

`((x+(1)/(x))^(n+6))/(n+6)+c`

B

`((x^(2)+1)/(x^(2)))^(n+6).(n+6)+c`

C

`((x)/(x^(2)+1))^(n+6)(n+6)+c`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INDEFINTE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE LEVEL-I)|5 Videos
  • INDEFINTE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE LEVEL-II)|4 Videos
  • INDEFINTE INTEGRAL

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|9 Videos
  • HYPERBOLA

    FIITJEE|Exercise NUMERICAL BASED|4 Videos
  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

Similar Questions

Explore conceptually related problems

int(x+(1)/(x))^(3/2)((x^(2)-1)/(x^(2)))dx is equal to (A) (1)/(3)(x+(1)/(x))^(3)+C (B)(2)/(5)(x+(1)/(x))^(5/2)

int(x^(2)+1)/(x(x^(2)-1))dx is equal to

int(x^(2))/(x(x^(2)-1))dx is equal to

int(x)/((x^(2)+1)(x^(2)+2))dx is equal to

int e^(x)""((x-1)/(x^(2)))dx is equal to

int((x^(2)-x-1)/(x)+1)^(K+7)((x^(2)+1)/(x^(2)))dx is equal to ………………

int(x^(2)+1)/(x)dx is equal to -

int(2x^(3)-1)/(x^(4)+x)dx is equal to

inte^(x)((x-1))/(x^(2))dx is equal to

FIITJEE-INDEFINTE INTEGRAL-SOLVED PROBLEMS (OBJECTIVE)
  1. If I(m"," n)=int cos^(m)x*cos nx dx, show that (m+n)I(m","n)=cos^(m)x*...

    Text Solution

    |

  2. If inte^(ax)cosbx dx=(e2x)/(29)f(x)+C , then f'' (x)=

    Text Solution

    |

  3. int(x+(1)/(x))^(n+5).((x^(2)-1)/(x^(2)))dx is equal to

    Text Solution

    |

  4. If int(cos^(2)x)/(sin^(6)x)dx=Acot^(5)x+Bcot^(3)x+k, then A+B equals

    Text Solution

    |

  5. If f'(x)=x|sinx|AAx""in(0,x)andf(0)=(1)/(sqrt3), then f(x) will be

    Text Solution

    |

  6. int((x^(2)-1))/((x^(2)+1)sqrt(x^(4)+1))dx is equal to

    Text Solution

    |

  7. Evaluate: int(x+x^(2/3)+x^(1/6))/(x(1+x^(1/3))).dx

    Text Solution

    |

  8. If int(e^(x)(2-x^(2)))/((1-x)sqrt(1-x^(2)))dx=mue^(x)((1+x)/(1-x))^(la...

    Text Solution

    |

  9. int(dx)/(xsqrt(1-x^(3)))dx=

    Text Solution

    |

  10. he value of the integral inte^(sin^(2x))(cosx+cos^3x)sinx dx is

    Text Solution

    |

  11. If int(dx)/(5+4cosx)=ktan^(-1)(mtan""(x)/(2))+c, then

    Text Solution

    |

  12. If intsqrt(cosecx+1)dx,kfog(x)+c, where k is a real constant, then

    Text Solution

    |

  13. If f'(x)=(1)/(-x+sqrt(x^(2)+1))andf(0)=(-(1+sqrt2))/(2), then the valu...

    Text Solution

    |

  14. int(dx)/(root(3)((x-1)^(4)*(x+1)^(2)))

    Text Solution

    |

  15. I=int (dx)/(""^(4)sqrt( (x-1) ^(3) (x+2)^(5)))=k ""^(4)sqrt((x-1)/(x+2...

    Text Solution

    |

  16. For integral int f(x- a/x)*(1+a/x^(2))dx, put x-a/x=t For integral i...

    Text Solution

    |

  17. Evaluate: int(x-1)/((x+1)sqrt(x^3+x^2+x))\ dx

    Text Solution

    |

  18. Statement -1 : Integral of an even function is not always on odd funct...

    Text Solution

    |

  19. If int(lnx)/(x^(3))dx=-(lnx)/(ax^(2))-(1)/(bx^(2))+c then the value of...

    Text Solution

    |

  20. Evaluate : intsin4x.e^(tan^(2)x)dx

    Text Solution

    |