Mathematics · important
Integral of reciprocal square-root sum 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 constant.
Conditions: Usually \(a>0\).
Standard algebraic irrational integrals.