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

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

If the integral int(x^(4)+x^(2)+1)/(x^(2)x-x+1)dx=f(x)+C, (where C is the constant of integration and x in R ), then the minimum value of f'(x) is

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

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

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

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

int_1^4 (x^2-x)dx

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