Integrate the functions $\frac{1}{\sqrt{(x-a)(x-b)}}$

Question

$\begin{array}{1 1} \log\mid\big(x-\frac{(a+b)}{2}\big)+\sqrt{(x-a)(x-b)}\mid \\ \log\mid\big(x+\frac{(a+b)}{2}\big)+\sqrt{(x-a)(x-b)}\mid \\ \log\mid\big(x-\frac{(a+b)}{2}\big)-\sqrt{(x-a)(x-b)}\mid \\ \log\mid\big(x+\frac{(a+b)}{2}\big)-\sqrt{(x-a)(x-b)}\mid\end{array} $