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0-t-2-3t-3-t-1-3-e-t-cos-t-dt-




Question Number 145361 by puissant last updated on 04/Jul/21
∫_0 ^(+∞) ((t^2 +3t+3)/((t+1)^3 )) e^(−t) cos(t) dt
$$\int_{\mathrm{0}} ^{+\infty} \frac{\mathrm{t}^{\mathrm{2}} +\mathrm{3t}+\mathrm{3}}{\left(\mathrm{t}+\mathrm{1}\right)^{\mathrm{3}} }\:\mathrm{e}^{−\mathrm{t}} \mathrm{cos}\left(\mathrm{t}\right)\:\mathrm{dt} \\ $$

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