Mathematics · supplementary
Integral of reciprocal root-product form for JEE
Evaluation of simple integrals of standard algebraic/trigonometric forms
Formula
\[\int \frac{1}{\sqrt{(x-a)(b-x)}}\,dx=\sin^{-1}\!\left(\frac{2x-a-b}{b-a}\right)+C\]
Variables: \(a,b\) are constants with \(a<b\).
Conditions: Typically \(a<x<b\).
Special standard algebraic form in JEE.