Home
Class 12
MATHS
The value of the integral int x^(3)log x...

The value of the integral `int x^(3)log x dx` is equal to -

A

`(1)/(8)(x^(4)log x-4x^(4))+c`

B

`(1)/(16)(4x^(4)logx-x^(4))+c`

C

`(1)/(16)(4x^(4)logx+x^(4))+c`

D

`(1)/(4)x^(4)logx-x^(4)+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 8|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 4|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

The value of the integral int_(-1)^(1)x|x|dx is equal to -

The value of the integral int_ _(1+2sinx)e^(x)dx is equal to-

The value of the integral int_(1)^(e ) (log x)^(2)dx is -

Let [x] denote the greatest integer less than or equal to x, then the value of the integral int_(-1)^(1)(|x|-2[x])dx is equal to-

Let [ x ] denote the greatest integer less than or equal to x, then the value of the integral int_-1^1 (absx - 2[x]) dx is equal to

[x] denotes the greatest integer, less than or equal to x, then the value of the integral int_(0)^(2)x^(2)[x]dx equals

The value of the integral int(dx)/(x^(2)+4x+13) is -

The value of the integral int_(0)^(1) x(1-x)^(n)dx is -

The value of the integral int_(1)^(5)[|x-3|+|1-x|]dx is equal to-

The value of the integral int_(1)^(5)[|x-3|+|1-x|]dx is equal to

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 6
  1. If f(x)=(1)/(1-x), then the derivative of the composite function f[f{f...

    Text Solution

    |

  2. The value of [sum(n=1)^(10)int(-2n-1)^(-2n)sin^(27)x dx+sum(n=1)^(10)i...

    Text Solution

    |

  3. The value of the integral int x^(3)log x dx is equal to -

    Text Solution

    |

  4. The value of int(-(1)/(2))^((1)/(2)){[x]+log((1+x)/(1-x))}dx is equal...

    Text Solution

    |

  5. If I(n)=int (logx)^(n)dx, then the value of (I(n)+nI(n-1)) is -

    Text Solution

    |

  6. The value of int(0)^(oo) (x dx)/((1+x)(1+x^(2))) is equal to -

    Text Solution

    |

  7. The value of int (e^(x)dx)/((e^(x)+2)(e^(x)+1)) is equal to -

    Text Solution

    |

  8. The value of int(dx)/(cosx-sinx) is equal to -

    Text Solution

    |

  9. The value of int(0)^((pi)/(2)) ((sinx+cosx)^(2))/(sqrt(1+sin2x))dx is ...

    Text Solution

    |

  10. If int(0)^(pi) x f(sinx) dx=A int(0)^((pi)/(2))f(sinx)dx, then the va...

    Text Solution

    |

  11. The value of int ((x-x^(3))^((1)/(3)))/(x^(4)) dx is equal to -

    Text Solution

    |

  12. The value of int e^(x log a)*e^(x)dx is equal to -

    Text Solution

    |

  13. The value of int(-(pi)/(4))^((pi)/(4)) x^(3) sin^(4) x dx is equal to...

    Text Solution

    |

  14. If f(x)=cosx-cos^(2)x+cos^(3)x-…oo, then the value of int f(x) dx is...

    Text Solution

    |

  15. The value of int(0)^(1)(xdx)/((x+sqrt(1-x^(2)))sqrt(1-x^(2))) is equal...

    Text Solution

    |

  16. The value of int(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal to -

    Text Solution

    |

  17. The value of int{(logx-1)/(1+(logx)^(2))}^(2)dx is equal to -

    Text Solution

    |

  18. The value of int(pi)^(2pi)[ 2 cos x]dx is equal to -

    Text Solution

    |

  19. The order and degree of the differential equation [1+((dy)/(dx))^(2)]...

    Text Solution

    |

  20. The differential equation of the system of circles touching the y-axi...

    Text Solution

    |