Question
$\text{Evaluate:} \int\limits_{-a}^{a} \sqrt\frac{{a - x}}{a + x} {dx}$
$I_{1}$
is even function and $I_{2}$ is odd function$\therefore I_{2} = 0$
$i = 2a \int\limits_{-a}^{a} \frac{dx}{\sqrt{a^{2} - x^{2}}} = 2a. \frac{\pi}{2} = \pi\text{a}$
$\therefore I = \pi\text{a}$
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