†an^{-1}(x/\{a+\sqrt{a^2+x^2}\

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\int \frac{x + 3}{\sqrt{5 - 4 x - x^{2}}} = - \sqrt{5 - 4 x - x^{2}} + {sin}^{- 1} (\frac{x + 2}{3}) + C

\int \frac{d x}{\sqrt{a^{2} - x^{2}}} = \frac{x^{2} \sqrt{a^{2} - x^{2}}}{2} + \frac{a^{2}}{2} {sin}^{- 1} (\frac{x}{a})

\frac{d}{d x} (\frac{x}{2} \sqrt{a^{2} - x^{2}} + \frac{a^{2}}{2} {sin}^{- 1} \frac{x}{a}) = \sqrt{a^{2} - x^{2}}

t a n^{- 1} {\frac{x}{a + \sqrt{a^{2} - x^{2}}}}

\int \frac{\sqrt{x^{2} - a^{2}}}{x} d x

a^{2} x^{2} + ({a x}^{2} + 1) x + a

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