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

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

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

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

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

(i) int (dx)/(x sqrt(x^2-1)) (ii) int (dx)/(x sqrt(ax -x^2))

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

int(dx)/((sqrt(1+x^2)-x)^n)(n!=+-1)=1/2(z^(n+1)/(n+1)+z^(n+1)/(n+1))+C where (A) x-sqrt(1+x^2) (B) x+sqrt(1+x^2) (C) -x+sqrt(1+x^2) (D) x-sqrt(1-x^2)

Evaluate: (i) int(a^(x))/(sqrt(1-a^(2x)))dx (ii) int(2x)/(sqrt(1-x^(2)-x^(4)))dx

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