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