erweitern (9pi(-2ln(3)-1))/(40)

Lösung

erweitern

\frac{9 π ( - 2 ln ( 3 ) - 1 )}{40}

- \frac{9 π ln ( 3 )}{20} - \frac{9 π}{40}

Dezimale

- 2.25998 \dots

Schritte zur Lösung

\frac{9 π ( - 2 ln ( 3 ) - 1 )}{40}

Multipliziere aus

9 π (- 2 ln (3) - 1) : - 18 π ln (3) - 9 π

= \frac{- 18 π ln ( 3 ) - 9 π}{40}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- 18 π ln ( 3 ) - 9 π}{40} = - \frac{18 π ln ( 3 )}{40} - \frac{9 π}{40}

= - \frac{18 π ln ( 3 )}{40} - \frac{9 π}{40}

Streiche

\frac{18 π ln ( 3 )}{40} : \frac{9 π ln ( 3 )}{20}

= - \frac{9 π ln ( 3 )}{20} - \frac{9 π}{40}

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