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1-e-e-dt-t-




Question Number 83109 by 09658867628 last updated on 28/Feb/20
∫_(1/e) ^e (dt/t)
$$\int_{\mathrm{1}/\boldsymbol{{e}}} ^{{e}} \frac{\boldsymbol{{dt}}}{\boldsymbol{{t}}} \\ $$
Commented by jagoll last updated on 28/Feb/20
= ln (t) ∣_(1/e) ^e  = 1−(−1) = 2
$$=\:\mathrm{ln}\:\left(\mathrm{t}\right)\:\mid_{\frac{\mathrm{1}}{\mathrm{e}}} ^{\mathrm{e}} \:=\:\mathrm{1}−\left(−\mathrm{1}\right)\:=\:\mathrm{2} \\ $$

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