Question

Metoda schimbarii de variabila

Answer 1

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