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Fie a ∈ R, a>0. Demonstrați ca:

[tex]a) \displaystyle\int\sqrt{x^2+a^2} \ dx = \frac{x}{2} \sqrt{a^2+x^2} +\frac{a^2}{2} ln(x+\sqrt{a^2+x^2} )+C[/tex]


Fie A R Agt0 Demonstrați Ca Texa Displaystyleintsqrtx2a2 Dx Fracx2 Sqrta2x2 Fraca22 Lnxsqrta2x2 Ctex class=