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

int_1^2 (x-1)/(x+1). 1/sqrt(x^3+x^2+x)dx

int(dx)/(x sqrt(1-x^(3)))=

int(dx)/(x sqrt(1-x^(3)))=

int(dx)/((x+3)sqrt(x+1))

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

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

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

If int(x(x-1))/((x^(2)+1)(x+1)sqrt(x^(3)+x^(2)+x))dx =(1)/(2)log_(e)|(sqrt(f(x))-1)/(sqrt(f(x))+1)|-tan^(-1)sqrt(f(x))+C, then The value of f(1) is

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