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

Lösung

erweitern

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

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

Schritte zur Lösung

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = x^{\frac{x}{2}}, b = \frac{1}{2} ln (x), c = \frac{1}{2}

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

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

e x p an d 4 v - 6 v

e x p an d 3 ((x - 1) (x + 3) (x - 4))

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

e x p an d \frac{3 x ^{2}}{ln ( 10 ) ( x ^{3} + 1 )}

e x p an d \frac{1}{12} (sin (x^{2}) + cos (x^{2})) (4 + sin (2) x^{2})