簡約 2((2(x-3)^{5/2})/5+2(x-3)^{3/2})+C

解

簡約

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

解答ステップ

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

結合

\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

簡素化

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