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0-t-e-4t-1-ln-i-t-e-2t-dt-by-M-A-




Question Number 163834 by amin96 last updated on 11/Jan/22
∫_0 ^∞ ((t(e^(4t) −1)(ln(i)+t))/e^(2t) )dt=?  by  M.A
$$\int_{\mathrm{0}} ^{\infty} \frac{\boldsymbol{{t}}\left(\boldsymbol{{e}}^{\mathrm{4}\boldsymbol{{t}}} −\mathrm{1}\right)\left(\boldsymbol{{ln}}\left(\boldsymbol{{i}}\right)+\boldsymbol{{t}}\right)}{\boldsymbol{{e}}^{\mathrm{2}\boldsymbol{{t}}} }\boldsymbol{{dt}}=? \\ $$$$\boldsymbol{{by}}\:\:\boldsymbol{{M}}.\boldsymbol{{A}} \\ $$

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