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

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

If int (dx)/(x ^(4) (1+x^(2)))=a ln |(1+x ^(3))/(x ^(3))| +(b)/(x ^(3)) +(c)/(1+ x^(2)) +d. then (where d is arbitrary constant)

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

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

(i) int((x^(2) - 1)/(x^(2) + 1))dx , (ii) int ((x^(6)- 1)/(x^(2) + 1))dx (iii) int ((x^(4))/(1+x^(2)))dx , (iv) int((x^(2))/(1+x^(2)))dx

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

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

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

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

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