Mathematics · important
Integral of reciprocal shifted quadratic for JEE
Evaluation of simple integrals of standard algebraic/trigonometric forms
Formula
\[\int \frac{1}{(x-a)^2+b^2}\,dx=\frac{1}{b}\tan^{-1}\!\left(\frac{x-a}{b}\right)+C\]
Variables: \(a,b\) are constants.
Conditions: \(b>0\).
Completing square in rational integrals.