# Evaluate the following $\int\sqrt {2ax-x^2}dx$
$\begin{array}{1 1} (A)\;\large\frac{x-a}{2} \sqrt {2ax-x^2}-\frac{a^2}{2} \sin ^{-1} \bigg(\frac{x-a}{a}\bigg)+c \\ (B)\;\large\frac{x-a}{4} \sqrt {2ax-x^2}+\frac{a^2}{2} \sin ^{-1} \bigg(\frac{x-a}{a}\bigg)+c \\ (C)\large\frac{x-a}{2} \sqrt {2ax-x^2}+\frac{a^2}{2} \sin ^{-1} \bigg(\frac{x-a}{a}\bigg)+c \\(D)\;\large\frac{x-a}{4} \sqrt {2ax-x^2}-\frac{a^2}{2} \sin ^{-1} \bigg(\frac{x-a}{a}\bigg)+c\end{array}$