`int_- 2^2(dx)/(1+|x-1|)`

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

What is the value of int_(-1)^1 (dx)/(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

If I_(1) = int_(1)^(2)(dx)/(sqrt(1+x^(2))) and I_(2)= int_(1)^(2) (dx)/(x) then

int_(1)^(2)(dx)/((x+1)sqrt(x^(2)-1))

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

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

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