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intdx/sqrt(1+2x-x^2)...

`intdx/sqrt(1+2x-x^2)`

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`intdx/sqrt(1+2x-x^2)=intdx/sqrt(1-(x^2-2x))`
=`intdx/sqrt(2-(x-1)^2) =intdx/((sqrt2)^2-(x-1)^2)`
=`sin^-1(x-1)/sqrt2+C`
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