Integrate : $\int \log \large\frac{[x +\sqrt {1+x^2}]}{\sqrt {1-x^2}}$$dx$

Question

$(a)\;\frac{1}{2} \log (x +\sqrt {1+x^2})+c \qquad(b)\;\frac{1}{2} \log (x -\sqrt {1+x^2})+c \qquad(c)\;\frac{1}{2} \log (x +\sqrt {1-x^2})+c \qquad (d)\;None$