Mathematics · important
Integral of reciprocal square-root difference form for JEE
Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions
Formula
\[\int \frac{1}{\sqrt{x^2-a^2}}\,dx=\log\left|x+\sqrt{x^2-a^2}\right|+C\]
Variables: \(a\) is a nonzero constant.
Conditions: Valid on domains where \(|x|>|a|\).
Standard algebraic irrational integrals.