Mathematics · essential
Integral of reciprocal square-root quadratic difference form for JEE
Evaluation of simple integrals of standard algebraic/trigonometric forms
Formula
\[\int \frac{1}{\sqrt{a^2-x^2}}\,dx=\sin^{-1}\!\left(\frac{x}{a}\right)+C\]
Variables: \(a>0\).
Conditions: \(|x|<a\).
Inverse trigonometric standard form.