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Beliebt Rechnen >

integral of (sqrt(2x))/x+3/(x^5)

Lösung

\int \frac{2 x}{x} + \frac{3}{x ^{5}} d x

Lösung

\frac{2}{x} x + 2 x - \frac{3}{4 x ^{4}} + C

Schritte zur Lösung

\int \frac{2 x}{x} + \frac{3}{x ^{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 \frac{2 x}{x} d x + \int \frac{3}{x ^{5}} d x

\int \frac{2 x}{x} d x = \frac{2}{x} x + 2 x

\int \frac{3}{x ^{5}} d x = - \frac{3}{4 x ^{4}}

= \frac{2}{x} x + 2 x - \frac{3}{4 x ^{4}}

Füge eine Konstante zur Lösung hinzu

= \frac{2}{x} x + 2 x - \frac{3}{4 x ^{4}} + C

Graph

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