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Question Number 7465 by Yozzia last updated on 30/Aug/16

∫(t^3 /((t−1)^2 (t^2 +t+1)^2 ))dt=?

$$\int\frac{{t}^{\mathrm{3}} }{\left({t}−\mathrm{1}\right)^{\mathrm{2}} \left({t}^{\mathrm{2}} +{t}+\mathrm{1}\right)^{\mathrm{2}} }{dt}=? \\ $$

Commented by prakash jain last updated on 30/Aug/16

=∫(t^3 /((t^3 −1)^2 ))dt  =∫(1/(t^3 −1))dt+∫(1/((t^3 −1)^2 ))dt  will continue soon

$$=\int\frac{{t}^{\mathrm{3}} }{\left({t}^{\mathrm{3}} −\mathrm{1}\right)^{\mathrm{2}} }{dt} \\ $$$$=\int\frac{\mathrm{1}}{{t}^{\mathrm{3}} −\mathrm{1}}{dt}+\int\frac{\mathrm{1}}{\left({t}^{\mathrm{3}} −\mathrm{1}\right)^{\mathrm{2}} }{dt} \\ $$$${will}\:{continue}\:{soon} \\ $$

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