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Beliebt Rechnen >

integral of (1+x^2)/1

Lösung

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

Lösung

x + \frac{x ^{3}}{3} + C

Schritte zur Lösung

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

Vereinfache

= \int 1 + x^{2} 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 1 d x + \int x^{2} d x

\int 1 d x = x

\int x^{2} d x = \frac{x ^{3}}{3}

= x + \frac{x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

= x + \frac{x ^{3}}{3} + C

Graph

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