Evaluate: int(x^2-1)/((x^2+1)sqrt(x^4+1...

Evaluate: `int(x^2-1)/((x^2+1)sqrt(x^4+1))dx`

A

`(1)/(2)ln((sqrt(x^4+1)-sqrt(2)x)/((x^2-1)))+C`

B

`(1)/(sqrt2)ln((sqrt(x^4-1)+sqrt(2)x)/((x^2-1)))+C`

C

`-(1)/(sqrt2)ln((sqrt(x^4+1)-sqrt(2)x)/((x^2-1)))+C`

D

None of these

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Evaluate: int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx

Evaluate: int(x+1)/((x-1)sqrt(x+2))dx

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

Evaluate: int(1)/((x-1)sqrt(x^(2)+4))dx

Evaluate: int(1-x^2)/(1+x^2).dx/sqrt(1+x^4)

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

Evaluate :int(2x)/((1-x^(2))sqrt(x^(4)-1))dx

Evaluate: int(x-1)/sqrt (x^2-1)dx

Evaluate: int(1)/((x-1)sqrt(2x+3))dx