integral of 6/7 x^{-1/7}

Lösung

\int \frac{6}{7} x^{- \frac{1}{7}} d x

x^{\frac{6}{7}} + C

Schritte zur Lösung

\int \frac{6}{7} x^{- \frac{1}{7}} d x

Entferne die Konstante:

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

= \frac{6}{7} \cdot \int x^{- \frac{1}{7}} d x

Wende die Potenzregel an

= \frac{6}{7} \cdot \frac{7}{6} x^{\frac{6}{7}}

Vereinfache

\frac{6}{7} \cdot \frac{7}{6} x^{\frac{6}{7}} : x^{\frac{6}{7}}

= x^{\frac{6}{7}}

Füge eine Konstante zur Lösung hinzu

= x^{\frac{6}{7}} + C

x \to 3 - lim ((x - 3)^{- 1})

\frac{\partial}{\partial y} (ln (10 x^{2} - 7 y^{2}))

t an g e n t \frac{2}{3 3 x}

d er i v a t i v e f (x) = \frac{4 - 3 x - x ^{2}}{x ^{2} - 1}

\int 10 arcsin (x) d x