`int_1^2\ (dx)/(x(1+x^2))`

Let I = int_1^2 (dx)/(sqrt(1 + x^2)), J = int_1^2 (dx)/(x) , then

int_1^2 x/((x+1)(x+2))dx

int_(1)^(2) (dx)/(x(1+log x)^(2))

int_(1)^(2) (dx)/(x(1+log x)^(2))

int_1^2(dx)/(x\ sqrt(x^2-1))

Evaluate: int_1^2 1/((x+1)(x+2))dx (ii) int_1^2 1/(x(1+x^2))dx

(i) int_0^1 (dx)/sqrt(1-x^2) (ii) int_0^1 (dx)/sqrt(1+x^2) (iii) a int_1^sqrt3 (dx)/(1+x^2) b int_0^1 (dx)/(1+x^2) (iv) int_0^(2//3) (dx)/(4+9x^2) (v) int_0^1 x/(x^2+1)dx (vi) int_2^3 x/(x^2+1) dx