integral of ((x^{1/3}))/(x^{2/3)}

Lösung

\int \frac{( x ^{\frac{1}{3}} )}{x ^{\frac{2}{3}}} d x

\frac{3}{2} x^{\frac{2}{3}} + C

Schritte zur Lösung

\int \frac{x ^{\frac{1}{3}}}{x ^{\frac{2}{3}}} d x

Vereinfache

\frac{x ^{\frac{1}{3}}}{x ^{\frac{2}{3}}} : \frac{1}{x ^{\frac{1}{3}}}

= \int \frac{1}{x ^{\frac{1}{3}}} d x

Wende die Potenzregel an

= \frac{3}{2} x^{\frac{2}{3}}

Füge eine Konstante zur Lösung hinzu

= \frac{3}{2} x^{\frac{2}{3}} + C

\int \frac{1}{( 8 - 2 x - x ^{2} ) ^{\frac{3}{2}}} d x

n = 0 \sum \infty \frac{2 ^{n}}{4 ^{n}}

\int (4 x^{2} - 5 x)^{5} (8 x - 5) d x

\int_{- \infty}^{1} 2^{x} d x

\int x (x + 1)^{9} d x