erweitern x(1-ln(x))^2

Lösung

erweitern

x (1 - ln (x))^{2}

x - 2 x ln (x) + x ln^{2} (x)

Schritte zur Lösung

x (1 - ln (x))^{2}

(1 - ln (x))^{2} = 1 - 2 ln (x) + ln^{2} (x)

= x (ln^{2} (x) - 2 ln (x) + 1)

Setze Klammern

= x \cdot 1 + x (- 2 ln (x)) + x ln^{2} (x)

Wende Minus-Plus Regeln an

+ (- a) = - a

= 1 \cdot x - 2 x ln (x) + x ln^{2} (x)

Multipliziere:

1 \cdot x = x

= x - 2 x ln (x) + x ln^{2} (x)

e x p an d \frac{10 ( 694 - 1 )}{231}

e x p an d (x y + 1 + \frac{2 x}{e ^{x y}}) d x + x^{2} d y

e x p an d \frac{1}{( s - 2 ) ( s + 5 )}

e x p an d (2 + \frac{6}{n} \cdot i)^{2}

e x p an d \frac{1}{( cos ( x ) + 3 sin ( x ) ) ^{2}}