Let `int(dx)/(sqrt(x^(2)+1)-x)=f(x)+C` such that `f(0)=0` and C is the constant of integration, then the value of `f(1)` is

If the integral int(lnx)/(x^(3))dx=(f(x))/(4x^(2))+C , where f(e )=-3 and C is the constant of integration, then the value of f(e^(2)) is equal to

If the integral int(lnx)/(x^(3))dx=(f(x))/(4x^(2))+C , where f(e )=-3 and C is the constant of integration, then the value of f(e^(2)) is equal to

If int(dx)/(sqrt(e^(x)-1))=2tan^(-1)(f(x))+C , (where x gt0 and C is the constant of integration ) then the range of f(x) is

If int(dx)/(sqrt(e^(x)-1))=2tan^(-1)(f(x))+C , (where x gt0 and C is the constant of integration ) then the range of f(x) is

Let int(x^(2)-1)/(x^(3)sqrt(3x^(4)+2x^(2)-1))dx=f(x)+c where f(1)=-1 and c is the constant of integration.

If B=int(1)/(e^(x)+1)dx=-f(x)+C , where C is the constant of integration and e^(f(0))=2 , then the value of e^(f(-1)) is

If B=int(1)/(e^(x)+1)dx=-f(x)+C , where C is the constant of integration and e^(f(0))=2 , then the value of e^(f(-1)) is

If the integral I=int(x sqrtx-3x+3sqrtx-1)/(x-2sqrtx+1)dx=f(x)+C (where, x gt0 and C is the constant of integration) and f(1)=(-1)/(3) , then the value of f(9) is equal to

If the integral I=int(x sqrtx-3x+3sqrtx-1)/(x-2sqrtx+1)dx=f(x)+C (where, x gt0 and C is the constant of integration) and f(1)=(-1)/(3) , then the value of f(9) is equal to

If int(dx)/(x^(2)+x)=ln|f(x)|+C (where C is the constant of integration), then the range of y=f(x), AA x in R-{-1, 0} is