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decompose-F-x-1-x-1-2-x-3-1-then-calculate-2-F-x-dx-




Question Number 28263 by abdo imad last updated on 22/Jan/18
decompose F(x)=  (1/((x−1)^2 (x^3 −1)))  then calculate  ∫_2 ^(+∝)  F(x)dx.
$${decompose}\:{F}\left({x}\right)=\:\:\frac{\mathrm{1}}{\left({x}−\mathrm{1}\right)^{\mathrm{2}} \left({x}^{\mathrm{3}} −\mathrm{1}\right)}\:\:{then}\:{calculate} \\ $$$$\int_{\mathrm{2}} ^{+\propto} \:{F}\left({x}\right){dx}. \\ $$

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