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Beliebt Rechnen >

integral of 2x-1/(x^2)

Lösung

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

Lösung

x^{2} + \frac{1}{x} + C

Schritte zur Lösung

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

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

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

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

Vereinfache

= x^{2} + \frac{1}{x}

Füge eine Konstante zur Lösung hinzu

= x^{2} + \frac{1}{x} + C

Graph

Beliebte Beispiele

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\int 2^{x} + x^{2} d x

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