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Question-188982




Question Number 188982 by normans last updated on 10/Mar/23
Commented by normans last updated on 10/Mar/23
from  FB difficult problem
$${from}\:\:\boldsymbol{{FB}}\:{difficult}\:{problem} \\ $$
Commented by MJS_new last updated on 10/Mar/23
not possible to solve  ∫_0 ^1 (ax)^(ax) dx=(1/a)∫_0 ^a t^t dt  no closed form exists
$$\mathrm{not}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{solve} \\ $$$$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\left({ax}\right)^{{ax}} {dx}=\frac{\mathrm{1}}{{a}}\underset{\mathrm{0}} {\overset{{a}} {\int}}{t}^{{t}} {dt} \\ $$$$\mathrm{no}\:\mathrm{closed}\:\mathrm{form}\:\mathrm{exists} \\ $$

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