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Question Number 35691 by prof Abdo imad last updated on 22/May/18

calculate lim_(a→0^+     )    ∫_(−a) ^a   (√((1+x^2 )/(a^2  −x^2 )))  dx .

$${calculate}\:{lim}_{{a}\rightarrow\mathrm{0}^{+} \:\:\:\:} \:\:\:\int_{−{a}} ^{{a}} \:\:\sqrt{\frac{\mathrm{1}+{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} \:−{x}^{\mathrm{2}} }}\:\:{dx}\:. \\ $$

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