let give f(x)= ∫_0 ^1 ((ln(1−x^2 t^2 ))/t^2 )dt with ∣x∣<1 by using derivation under ∫ find the value of f(x).


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Question Number 28819 by abdo imad last updated on 30/Jan/18

$l e t g i v e f (x) = \int_{0}^{1} \frac{l n (1 - x^{2} t^{2})}{t^{2}} d t w i t h ∣ x ∣< 1$ $b y u s i n g d e r i v a t i o n u n d e r \int f i n d t h e v a l u e o f f (x) .$
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