Home
Class 12
MATHS
int(x^2-1)/(x^4+3x^2+1)dx(x >0) is...

`int(x^2-1)/(x^4+3x^2+1)dx(x >0)` is

A

`tan^(-1)(x+1/x)+c`

B

`tan^(-1)(x-1/x)+c`

C

`log_(e)((x+1/x-1)/(x+1/x+1))+c`

D

`log_(e)((x-1/x-1)/(x-1/x+1))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

int(x dx)/(x^4+x^2+1)=

int((1+x)^2)/(x(1+x^2))dx

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

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

int(2xtan^-1x^2)/(1+x^4)dx =

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

int (x^4+1)/(x^2+1)dx

int(x^(2)+1)/(x(x^(2)-1))dx is equal to

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

int (x^2-1)/((x^2+1) sqrt(x^4+1)) \ dx =