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Beliebt Rechnen >

integral of xsin(x)+1

Lösung

\int x sin (x) + 1 d x

Lösung

- x cos (x) + sin (x) + x + C

Schritte zur Lösung

\int x sin (x) + 1 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 x sin (x) d x + \int 1 d x

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

\int 1 d x = x

= - x cos (x) + sin (x) + x

Füge eine Konstante zur Lösung hinzu

= - x cos (x) + sin (x) + x + C

Graph

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