Question

Integrala din lux/x e Integrala prin parti? sicum se calculeaza

Answer 1

$\int\ { \frac{lnx}{x} } \, dx$
Notam ln x=t => $\frac{1}{x} dx=dt$
$\int\ {t} \, dt = \frac{ t^{2} }{2} + C$ = $\frac{ ln^{2} x}{2} + C$