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Metoda schimbarii de variabila

Metoda Schimbarii De Variabila class=

Răspuns :

{x^4=t}.....{4x^3dx=dt}..si trecem integrala in t[tex] \frac{1}{4} \int\ { \frac{1}{ \sqrt{ \sqrt{2} ^{2}- t^{2} } } } \, dt = \frac{1}{4}arcsin( \frac{t}{ \sqrt{2} } )+c[/tex]
Revenim la notatia veche:[tex] \frac{1}{4}arcsin( \frac{ x^{4} }{ \sqrt{2} } )+c[/tex]