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What-is-the-nature-of-the-integral-1-t-5-3t-1-t-3-100-e-t-dt-




Question Number 108285 by Ar Brandon last updated on 16/Aug/20
What is the nature of the integral  ∫_1 ^∞ ((t^5 +3t+1)/(t^3 +100))e^(−t) dt
$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{nature}\:\mathrm{of}\:\mathrm{the}\:\mathrm{integral} \\ $$$$\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{t}^{\mathrm{5}} +\mathrm{3t}+\mathrm{1}}{\mathrm{t}^{\mathrm{3}} +\mathrm{100}}\mathrm{e}^{−\mathrm{t}} \mathrm{dt} \\ $$

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