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

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

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

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

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

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

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

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

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

Evaluate: int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx

Evaluate: int((x-1)sqrt(x^4+2x^3-x^2+2x+1))/(x^2(x+1))dx