Evaluate: ∫ dx/√(x-x^2)

Question

Evaluate: \(\int\cfrac{dx}{\sqrt{x-x^2}}\)

∫ dx/√(x-x²)

Answer 1

Formula to be used -\(\int\cfrac{dx}{\sqrt{a^2-x^2}}=sin^{-1}\cfrac{x}{a}+c\) where c is the integrating constant

\(=sin^{-1}\left(2x-1\right)+c\), c being the integrating constant