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Beliebt Rechnen >

integral of (cos(x)+1/5 x)

Lösung

\int (cos (x) + \frac{1}{5} x) d x

Lösung

sin (x) + \frac{x ^{2}}{10} + C

Schritte zur Lösung

\int cos (x) + \frac{1}{5} 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 cos (x) d x + \int \frac{1}{5} x d x

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

\int \frac{1}{5} x d x = \frac{x ^{2}}{10}

= sin (x) + \frac{x ^{2}}{10}

Füge eine Konstante zur Lösung hinzu

= sin (x) + \frac{x ^{2}}{10} + C

Graph

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