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Question Number 82434 by mathmax by abdo last updated on 21/Feb/20

1)decompose inside C(x)and R(x) the fraction  F(x)=((2x+1)/((x^2 +1)^3 (x−1)^2 ))  2) find the value of  ∫_3 ^(+∞) F(x)dx

$$\left.\mathrm{1}\right){decompose}\:{inside}\:{C}\left({x}\right){and}\:{R}\left({x}\right)\:{the}\:{fraction} \\ $$$${F}\left({x}\right)=\frac{\mathrm{2}{x}+\mathrm{1}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{3}} \left({x}−\mathrm{1}\right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{3}} ^{+\infty} {F}\left({x}\right){dx} \\ $$

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