erweitern (ln(1+\frac{x-1)/(x^2))(x+1)}{x-1}

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere aus

ln (1 + \frac{x - 1}{x ^{2}}) (x + 1) : x ln (1 + \frac{x - 1}{x ^{2}}) + ln (1 + \frac{x - 1}{x ^{2}})

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

e x p an d - \frac{5 ( 2 - x ^{\frac{1}{5}} ) ^{4}}{4}

e x p an d \frac{48}{( 2 s + 1 ) ( 4 s ^{2} + 4 s + 17 )}

e x p an d sin (θ) (- 7, - 24)

e x p an d \frac{2 - 5 s}{( s - 6 ) ( s ^{2} + 11 )}

e x p an d \frac{- 3 + 9 - 4 ( - 2 x ^{3} - x )}{2}