integral of 5/6 x^{5/6}

Lösung

\int \frac{5}{6} x^{\frac{5}{6}} d x

\frac{5}{11} x^{\frac{11}{6}} + C

Schritte zur Lösung

\int \frac{5}{6} x^{\frac{5}{6}} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{5}{6} \cdot \int x^{\frac{5}{6}} d x

Wende die Potenzregel an

= \frac{5}{6} \cdot \frac{6}{11} x^{\frac{11}{6}}

Vereinfache

\frac{5}{6} \cdot \frac{6}{11} x^{\frac{11}{6}} : \frac{5}{11} x^{\frac{11}{6}}

= \frac{5}{11} x^{\frac{11}{6}}

Füge eine Konstante zur Lösung hinzu

= \frac{5}{11} x^{\frac{11}{6}} + C

f (x) = (1 - x^{2})^{\frac{1}{2}}

x \to - 1 + lim (\frac{1}{x + 1})

x \to \infty + lim (e^{x} - 2 x)

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

n = 1 \sum \infty \frac{n}{3 n ^{2} + 1}