Home
Class 12
MATHS
Evaluate: int(x+x^(2/3)+x^(1/6))/(x(1+x^...

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

A

`(3)/(2)x^(2//3)+6tan^(-1)(x^(1//6))+c`

B

`(3)/(2)x^(2//3)-6tan^(-1)(x^(1//6))+c`

C

`(3)/(2)x^(2//3)+tan^(-1)(x^(1//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

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

Evaluate int(1-x+x^(2)-x^(3))/(x(x^(2)+1))dx

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

Evaluate: int(x^(1/2))/(1+x^(3/4))dx

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

Evaluate: int(x^3-1)^(1/3)x^5dx

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

Evaluate : int(x^(2)+3x-1)/(2x)dx

Evaluate: int x^(3)(x^(2)-1)^((1)/(4))dx

Evaluate: int(x^(-7/6)-x^(5/6))/(x^(1/3)(x^2+x+1)^(1/2)-x^(1/2)(x^2+x+1)^(1/3))dx

FIITJEE-INDEFINTE INTEGRAL-SOLVED PROBLEMS (OBJECTIVE)
  1. If int(cos^(2)x)/(sin^(6)x)dx=Acot^(5)x+Bcot^(3)x+k, then A+B equals

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If the primitive of the function f(x)=(x^(2009))/((1+x^(2))^(1006)) w....

    Text Solution

    |

  19. If the antiderivative of (x^(3))/(sqrt((1+2x^(2)))) which passes throu...

    Text Solution

    |

  20. Match the following:

    Text Solution

    |