Integrate int (x^2+1)/(x^4-x^2+1)dx...

Integrate `int (x^2+1)/(x^4-x^2+1)dx`

A

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

B

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

C

`tan^(-1)((x^2 -1)/(x))+C`

D

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

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Evaluate the following integral: int_0^1(1-x^2)/(x^4+x^2+1)dx

Integrate: int(3 x^2)/(x^(3)-1)dx

Integrate : int(1+x)/(1-2x-x^(2))dx

Integrate: int e^x ((x^2+1)/(x+1)^2) dx.

integrate int cos^(-1)(4x^(3)-3x)dx

Find the integral int(x^(2)-1)/(x^(2)+1)*(dx)/(sqrt(1+x^(4))) .

Integrate :int(x^(3)+3x+2)/((x^(2)+1)^(2)(x+1))dx

Integrate int_1^2x^3dx

Evaluate the following integrals int (3x-1)/(4x^(2)-4x+17)dx

Integrate : int(x)/(a^(2)+x^(2))dx