Mathematics · important
Integral of reciprocal linear-square-root form for JEE
Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions
Formula
\[\int \frac{1}{x^2-a^2}\,dx=\frac{1}{2a}\log\left|\frac{x-a}{x+a}\right|+C\]
Variables: \(a\neq 0\).
Conditions: \(x\neq \pm a\).
Partial fractions and standard rational forms.