int (dx)/(x^(3)+3x^(2)+2x)=...

`int (dx)/(x^(3)+3x^(2)+2x)=`

A

`log |x|-log |x+1|+log|x+2|+c`

B

`log |x|-log |x+1|+log|x+2|+c`

C

`(1)/(2)[log |x|+log|x+1|+log|x+2|+c`

D

`(1)/(2) log (([x^(2)+2x])/((x+1)^(2)))+c`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Evaluate the integerals. int (2x+3)/(x ^(3) +x^(2) -2x)dx

Evalute the following integrals int (2x + 3)/(x^(3) + x^(2) - 2x) dx

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

int (3dx)/(2x^(2)-x-1)=

Evaluate int (x+1)/(x^(2)+3x+12) dx .

int (1)/(2x^(2)-3)dx=

int (x^(2))/(x^(6)+2x^(3)+2)dx=

Find int (3x-5)/(x (x^(2)+2x+4))dx.

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