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Beliebt Rechnen >

integral of (2/x+sin(x))

Lösung

\int (\frac{2}{x} + sin (x)) d x

Lösung

2 ln ∣ x ∣ - cos (x) + C

Schritte zur Lösung

\int \frac{2}{x} + sin (x) 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} d x + \int sin (x) d x

\int \frac{2}{x} d x = 2 ln ∣ x ∣

\int sin (x) d x = - cos (x)

= 2 ln ∣ x ∣ - cos (x)

Füge eine Konstante zur Lösung hinzu

= 2 ln ∣ x ∣ - cos (x) + C

Graph

Beliebte Beispiele

integral of 1/(u+u^2)

\int \frac{1}{u + u ^{2}} d u

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\int sin (10 w) d w

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\int \frac{x ^{7}}{x ^{4} + 1} d x

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