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find-I-1-1-x-x-2-dx-

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Question Number 30546 by abdo imad last updated on 23/Feb/18
find I = ∫_1 ^(+∞) (((−1)^([x]) )/x^2 )dx .
$${find}\:{I}\:=\:\int_{\mathrm{1}} ^{+\infty} \:\:\frac{\left(−\mathrm{1}\right)^{\left[{x}\right]} }{{x}^{\mathrm{2}} }{dx}\:. \\ $$

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