vereinfachen 2((2(x-3)^{5/2})/5+2(x-3)^{3/2})+C

Lösung

vereinfachen

2 (\frac{2 ( x - 3 ) ^{\frac{5}{2}}}{5} + 2 (x - 3)^{\frac{3}{2}}) + C

\frac{2 ( 10 ( x - 3 ) ^{\frac{3}{2}} + 2 ( x - 3 ) ^{\frac{5}{2}} )}{5} + C

Schritte zur Lösung

2 (\frac{2 ( x - 3 ) ^{\frac{5}{2}}}{5} + 2 (x - 3)^{\frac{3}{2}}) + C

Füge zusammen:

\frac{2 ( x - 3 ) ^{\frac{5}{2}}}{5} + 2 (x - 3)^{\frac{3}{2}} : \frac{10 ( x - 3 ) ^{\frac{3}{2}} + 2 ( x - 3 ) ^{\frac{5}{2}}}{5}

= 2 \cdot \frac{10 ( x - 3 ) ^{\frac{3}{2}} + 2 ( x - 3 ) ^{\frac{5}{2}}}{5} + C

Vereinfache

2 \cdot \frac{10 ( x - 3 ) ^{\frac{3}{2}} + 2 ( x - 3 ) ^{\frac{5}{2}}}{5} : \frac{2 ( 10 ( x - 3 ) ^{\frac{3}{2}} + 2 ( x - 3 ) ^{\frac{5}{2}} )}{5}

= \frac{2 ( 10 ( x - 3 ) ^{\frac{3}{2}} + 2 ( x - 3 ) ^{\frac{5}{2}} )}{5} + C

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

s im pl i f y (7 - 3 n) (7 + 3 n)

e x p an d e^{x} (e^{x} - 1)^{4}

e x p an d, (x^{2} - x)

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