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

Lösung

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

\frac{25}{66} x^{\frac{11}{5}} + C

Schritte zur Lösung

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

Wende die Potenzregel an

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

Vereinfache

\frac{5}{6} \cdot \frac{5}{11} x^{\frac{11}{5}} : \frac{25}{66} x^{\frac{11}{5}}

= \frac{25}{66} x^{\frac{11}{5}}

Füge eine Konstante zur Lösung hinzu

= \frac{25}{66} x^{\frac{11}{5}} + C

a re a f (x) = 12 x + x^{2} - x^{3}, g (x) = 0

d er i v a t i v e \frac{s - 7}{s + 3}

s l o p e \frac{( x ^{2} )}{x + 7}

\frac{\partial}{\partial x} (x^{2} + y^{2} + (x + y)^{2})

\frac{\partial}{\partial x} (\frac{1}{( 1 + e ^{- x} )})