Home
Class 12
MATHS
int (dx)/(x(1+log x)^(3))=...

`int (dx)/(x(1+log x)^(3))=`

A

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

B

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

C

`(1)/(1 + log x)+ c`

D

` - (1)/(3 (1 + log x )^(3)) +c `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE -II|157 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|16 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

A: int e^(x)((1+x log x)/(x))=e^(x)log x+c R: int e^(x)[f(x)+f'(x)]dx=e^(x)f(x)+c

int (log x-1)/((log x)^(2))dx=

int (2)/(x [1 + (log x)^(2)]) dx =

If int (1)/(x sqrt(1 - x^(3))) " dx = a log" | (sqrt(1- x^(3)) - 1)/(sqrt(1 -x^(3) )+ 1) | + b then a =

int e^(x)( log x+(1)/(x^(2)))dx=

Evalute the following integrals int (1)/(x) ("log x")^(2) dx

int (1+log x)/(1+x log x)dx=

int (1)/(x (2 +3 log x )) dx =

int e^(x) (x+1) log x dx=