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Beliebt Rechnen >

integral of x^{-2}+x^{1/5}

Lösung

\int x^{- 2} + x^{\frac{1}{5}} d x

Lösung

- \frac{1}{x} + \frac{5}{6} x^{\frac{6}{5}} + C

Schritte zur Lösung

\int x^{- 2} + x^{\frac{1}{5}} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{- 2} d x + \int x^{\frac{1}{5}} d x

\int x^{- 2} d x = - \frac{1}{x}

\int x^{\frac{1}{5}} d x = \frac{5}{6} x^{\frac{6}{5}}

= - \frac{1}{x} + \frac{5}{6} x^{\frac{6}{5}}

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{x} + \frac{5}{6} x^{\frac{6}{5}} + C

Graph

Beliebte Beispiele

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\frac{d}{d x} (tan (x - y))

integral of \sqrt[9]{r^2}

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laplacetransform 3cos(8t)

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y^{''}-2y-8y=0,y(0)=-2,y^'(0)=4

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