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Beliebt Rechnen >

integral of (10+2x^2+2y^2)

Lösung

\int (10 + 2 x^{2} + 2 y^{2}) d x

Lösung

10 x + 2 y^{2} x + \frac{2 x ^{3}}{3} + C

Schritte zur Lösung

\int 10 + 2 x^{2} + 2 y^{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 10 d x + \int 2 y^{2} d x + \int 2 x^{2} d x

\int 10 d x = 10 x

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

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

= 10 x + 2 y^{2} x + \frac{2 x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

= 10 x + 2 y^{2} x + \frac{2 x ^{3}}{3} + C

Graph

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