erweitern 1/2 (sqrt(5)-1/2 ln(sqrt(5)-2))

Lösung

erweitern

\frac{1}{2} (5 - \frac{1}{2} ln (5 - 2))

\frac{5}{2} - \frac{1}{4} ln (5 - 2)

Dezimale

1.47894 \dots

Schritte zur Lösung

\frac{1}{2} (5 - \frac{1}{2} ln (5 - 2))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = \frac{1}{2}, b = 5, c = \frac{1}{2} ln (5 - 2)

= \frac{1}{2} 5 - \frac{1}{2} \cdot \frac{1}{2} ln (5 - 2)

= 5 \frac{1}{2} - \frac{1}{2} \cdot \frac{1}{2} ln (5 - 2)

Vereinfache

5 \frac{1}{2} - \frac{1}{2} \cdot \frac{1}{2} ln (5 - 2) : \frac{5}{2} - \frac{1}{4} ln (5 - 2)

= \frac{5}{2} - \frac{1}{4} ln (5 - 2)

e x p an d y d x + (y^{3} - x) d y

\frac{d ^{2}}{d y ^{2}} ((d) ((x - y) e^{x y}))

e x p an d x e^{3 x} (D^{2} - 6 D + 9)

e x p an d (4 x^{3} y + 9) d x + (x^{4} - 5) d y

e x p an d \frac{5 s ^{2} + s + 38}{( s + 3 ) ( s ^{2} - 6 s + 13 )}