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Beliebt Rechnen >

integral of y^2-x^2

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

= y^{2} x - \frac{x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

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

Graph

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