Home
Class 12
MATHS
int x log x dx is equal to...

`int x log x dx` is equal to

A

`(x^(2))/(4) ( 2 log x-1)+c `

B

`(x^(2))/(2)( 2 logx-1+c `

C

`(x^(2))/(4)(2 log x +1)+c `

D

`(x^(2))/(2) (2 log x +1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`int underset(II)(x) underset(I)(log x)dx=log x*""(x^(2))/(2)-int(1)/(x)*(x^(2))/(2) dx `
`=(x^(2))/(2) log x -(1)/(2)(x^(2))/(2)+c `
`(x^(2))/(4)(2 logx -1)+c `
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2008

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

  • MHTCET 2010

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Mathematics|50 Videos

Similar Questions

Explore conceptually related problems

int cos(log x)dx is equal to

The value of int x log x (log x - 1) dx is equal to

int|x|log|x|dx is equal to (xne0)

What is int sin x log (tan x) dx equal to ?

int cos (log_e x)dx is equal to

int e^(x log a) e^(x) dx is equal to

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2009-MATHEMATICS
  1. Form of the differential equation of all family of lines y=mx+(4)/(m) ...

    Text Solution

    |

  2. The focal distance of a point P on the parabola y^(2)=12x if the ordi...

    Text Solution

    |

  3. Focus of hyperbola is (+-3,0) and equation of tangent is 2x+y-4=0, fin...

    Text Solution

    |

  4. If 4x-3y+k=0 touches the ellipse 5x^(2)+9y^(2)=45 , then k is equ...

    Text Solution

    |

  5. If m1 and m2 are the slopes of tangents to x^2+y^2= 4 from the point (...

    Text Solution

    |

  6. If theta is the angle between the lines ax^2 +2hxy + by^2 =0 , then an...

    Text Solution

    |

  7. find the derivative of e^(x) + e^(y) = e^(x +y)

    Text Solution

    |

  8. If xy = tan^(-1) (xy) + cot^(-1) (xy), " then" (dy)/(dx) is equal to

    Text Solution

    |

  9. Find a polynomial f(x) of degree 2 where f(0)=8, f(1)=12, f(2)=18

    Text Solution

    |

  10. Tangent to the ellipse (x^(2))/(32)+(y^(2))/(18)=1 having slope -(3)/...

    Text Solution

    |

  11. int x log x dx is equal to

    Text Solution

    |

  12. int(0)^(pi//2) ""(sin x - cos x)/( 1-sin x * cos x) dx is equal to

    Text Solution

    |

  13. Volume of the parallelopiped having vertices at O-=(0,0,0) , A-=(2,-2...

    Text Solution

    |

  14. If 2veca+ 3vecb-5 vecc=vec0, then ratio in which vecc divides vec...

    Text Solution

    |

  15. ~(~p to q)-=

    Text Solution

    |

  16. Simplify the following circuit and find the boolean polynomial .

    Text Solution

    |

  17. Simplify (p vv q) ^^ (p vv ~q).

    Text Solution

    |

  18. Equation of tangent to the parabola y^(2)=16xx at P(3,6) is

    Text Solution

    |

  19. If lim(x to 1)((e^(k)-1)sin kx)/(x^(2))=4, then k is equal to

    Text Solution

    |

  20. The derivative of cos x^(3) w.r.t. x^(3) is

    Text Solution

    |