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Beliebt Rechnen >

integral of (ln(x)+4x)

Lösung

\int (ln (x) + 4 x) d x

Lösung

x ln (x) - x + 2 x^{2} + C

Schritte zur Lösung

\int ln (x) + 4 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 ln (x) d x + \int 4 x d x

\int ln (x) d x = x ln (x) - x

\int 4 x d x = 2 x^{2}

= x ln (x) - x + 2 x^{2}

Füge eine Konstante zur Lösung hinzu

= x ln (x) - x + 2 x^{2} + C

Graph

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