`I=int(dx)/((x+2)sqrt(x+2))`

If I=int(dx)/(x^(2)sqrt(1+x^(2)))=(f(x))/(x)+C, (AA x gt0) (where, C is the constant of integration) and f(1)=-sqrt2 , then the value of |f(sqrt3)| is

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

I=int(dx)/((a+dx^2)sqrt(b-a x^2))

If I=int(dx)/(x^(4)sqrt(a^(2)+x^(2))) , then I equals

(i) int(dx)/(x sqrt(4x^(2)-9))

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

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

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

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

Evaluate int(dx)/(x-sqrt(x^(2)+2x+4)) .