Question

Найдите:
$intlimits^e_1 {frac{ln^3x}{x}} , dx$

Answer 1

$int limits ^{e} _{1} frac{ {ln}^{3}x }{x} dx = int limits ^{e} _{1} ln^{3}x : d( lnx)= frac{ {ln}^{4}x }{4} : |^e_1 = frac{1}{4} - 0 = 0.25$