Integral of inverse square root form for JEE

Formula

\[\int \frac{1}{\sqrt{a^2-x^2}}\,dx=\sin^{-1}\!\left(\frac{x}{a}\right)+C\]

Variables: \(a\) is a nonzero constant.

Conditions: Usually taken for \(a>0\) and \(|x|<a\).

Standard algebraic forms; substitution to inverse trigonometric result.