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

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

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

(i) int (x^2+1)/((x^2+4)(x^2+25)) dx (ii) int (2x^2+1)/(x^2(x^2+4)) dx

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

Evaluate: int_(1)^(2)(1)/((x+1)(x+2))dx( ii) int_(1)^(2)(1)/(x(1+x^(2)))dx

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

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

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