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

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

int_(0)^(2)((x^(4)+1))/((x^(2)+1))dx

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

The value of int _(0)^(1) (x^(4) +1)/(x^(2)+1)dx is

If int(x^(4)+1)/(x(x^(2)+1)^(2))dx=A ln|x|+(B)/(1+x^(2))+C then

Evaluate int_(0)^(1)(x^(4)+1)/(x^(2)+1)dx

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

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