integral of \sqrt[3]{x^2}

Lösung

\int 3 x^{2} d x

\frac{3}{5} x^{\frac{5}{3}} + C

Schritte zur Lösung

\int 3 x^{2} d x

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

angenommen

x \geq 0

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

Wende die Potenzregel an

= \frac{3}{5} x^{\frac{5}{3}}

Füge eine Konstante zur Lösung hinzu

= \frac{3}{5} x^{\frac{5}{3}} + C

\frac{\partial}{\partial y} (x cos (z))

t an g e n t 7 x^{2} - 9 x, at x = - 17

t an g e n t f (x) = 2 x^{2} - 5 x + 3, at x = 1

\int \frac{( 3 + 4 x )}{3 x - x ^{2} - 2} d x

x \to 3 lim (\frac{x + 3}{x + 6})