If f is a quadratic function such that f(0) =1 and $\displaystyle \int\frac{f(x)dx}{x^2(x+1)^3}$ is a rational function. Find the value of f'(0).

I'm running out of ideas, anyone help pls? I think the derivative of the denominator = f(x), is that correct? Please put solution to the entire problem so I can check if I'm doing things right. Thanks.