`int root2 (x^2+1)/x^4 dx` (x<0)

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

int 1/(root4 (x^3)) dx=

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

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

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

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

int (2x+1)/(x^2+4x-5) dx

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

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

Evaluate the following integrals. (i) int 1/((x - 2)^2 + 1)dx " " (ii) int (x^2)/(x^2 + 5)dx " " (iii) int 1/(sqrt(1 + 4x)^2)dx