Block diagrams to transfer functions

1. The problem statement, all variables and given/known data

I am trying to write a block diagram as a transfer function.







2. Relevant equations







3. The attempt at a solution

Let ##G = \frac{1}{s}##, ##H = \frac{K}{Js + a}##, and ##L= K_f##. Then wouldn't the closed loop transfer function be written as

$$

\frac{\frac{HLG}{1+HL}}{1 + \frac{HLG}{1+HL}} = \frac{KK_f}{s^2J + (KK_f + a)s + KK_f}

$$

I only ask because the book has it as

$$

\frac{K}{s^2J + (KK_f + a)s + K}

$$

and I don't see how that was obtained.