find ∫ (1/(2−x^2 )) dx


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Question Number 32258 by Cheyboy last updated on 22/Mar/18

$f i n d$ $\int \frac{1}{2 - x^{2}} d x$
	Answered by mrW2 last updated on 22/Mar/18

	$\int \frac{1}{{(\sqrt{2})}^{2} - x^{2}} d x$ $\int \frac{1}{[\sqrt{2} + x] [\sqrt{2} - x]} d x$ $- \frac{1}{2 \sqrt{2}} [\int \frac{1}{x - \sqrt{2}} d x - \int \frac{1}{x + \sqrt{2}} d x]$ $- \frac{1}{2 \sqrt{2}} \ln ∣ \frac{x - \sqrt{2}}{x + \sqrt{2}} ∣ + C$
	Commented by Cheyboy last updated on 23/Mar/18

	$T h a n k y o u s i r G o d b l e s s y o u$
	Answered by $@ty@m last updated on 22/Mar/18

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