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explicit-f-a-0-1-ln-1-ax-2-x-2-dx-with-0-lt-a-lt-1-




Question Number 94311 by mathmax by abdo last updated on 18/May/20
explicit f(a) =∫_0 ^1  ((ln(1−ax^2 ))/x^2 )dx with 0<a<1
$${explicit}\:{f}\left({a}\right)\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{ln}\left(\mathrm{1}−{ax}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} }{dx}\:{with}\:\mathrm{0}<{a}<\mathrm{1} \\ $$

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