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Definite integral with radicals denominator

2175ExpertCalculus

Olimpiada Națională de Matematică

Să se calculeze $\int_{-\frac{1}{2}}^{\frac{1}{2}} \frac{x^{2}}{x \sqrt{2}+\sqrt{1-x^{2}}+\sqrt{1+x^{2}}} d x$
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