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Question Number 74500 by mathmax by abdo last updated on 25/Nov/19
1) decompose the fraction F(x)=((x^3 −2)/((x+1)^4 (x−2)^3 ))  2)find   ∫_3 ^(+∞)  F(x)dx
$$\left.\mathrm{1}\right)\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)=\frac{{x}^{\mathrm{3}} −\mathrm{2}}{\left({x}+\mathrm{1}\right)^{\mathrm{4}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \\ $$$$\left.\mathrm{2}\right){find}\:\:\:\int_{\mathrm{3}} ^{+\infty} \:{F}\left({x}\right){dx} \\ $$

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