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Beliebt Rechnen >

integral of (1/(x^3)+7/(x^2))

Lösung

\int (\frac{1}{x ^{3}} + \frac{7}{x ^{2}}) d x

Lösung

- \frac{1}{2 x ^{2}} - \frac{7}{x} + C

Schritte zur Lösung

\int \frac{1}{x ^{3}} + \frac{7}{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 \frac{1}{x ^{3}} d x + \int \frac{7}{x ^{2}} d x

\int \frac{1}{x ^{3}} d x = - \frac{1}{2 x ^{2}}

\int \frac{7}{x ^{2}} d x = - \frac{7}{x}

= - \frac{1}{2 x ^{2}} - \frac{7}{x}

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{2 x ^{2}} - \frac{7}{x} + C

Graph

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