`int_0^1 (x)/(sqrt(1-x))dx=`

int_0^1 dx/sqrt(1-x^2)

int_0^1 x/sqrt(1-x^2)dx

int_0^1 x/(1+sqrt(x))dx

int_(0)^(1)(x)/(1+sqrt(x))dx

int_0^1 x/sqrt(1+x^2)dx

int_(0)^(1)(x)/(sqrt(1-x^(2)))dx=

int_(0)^(1)(1)/(x+sqrt(x))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

int_(0)^(1) (dx)/(sqrt(1+x)sqrt(x))=