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

Evaluate the following integrals : (i) int(1)/((x+1)sqrt(2x-3))dx (ii) int(1)/((x+1)sqrt(x^(2)+x-1))dx (iii) int(1)/((x^(2)+3x+3)sqrt(x+1))dx (iv) int(1)/((x^(2)-3x+2)sqrt(x^(2)-2))dx

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

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

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

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

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

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

int(x+1)/(sqrt(2x^(2)+x-3))dx

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

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