Evaluate $\int \frac{1}{\sqrt{25 - x^{2}}}\,dx$.

Explanation

1. 01

   $\int \frac{dx}{\sqrt{a^2 - x^2}} = \sin^{-1}\frac{x}{a} + C$.

2. 02

   With $a = 5$: $\sin^{-1}\frac{x}{5} + C$.