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

Evaluate: int(x^2+x-1)/(x^2+x-6)\ dx

Evaluate: int(x^2+x-1)/(x^2+x-6)\ dx

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

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

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

Evaluate: int(x^(2)+x+1)/(x^(2)-x+1)dx

Evaluate int (x^(2)+x+1)/(x^(2)(x+2))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)+x-1)/(x^(2)+x-6)dx

int (dx)/((x+1)(2x+1)) (ii) int (x-1)/((x-2)(x-3)) dx .