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Beliebt Rechnen >

integral of (1-x^2-y^2)

Lösung

\int (1 - x^{2} - y^{2}) d y

Lösung

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

Schritte zur Lösung

\int 1 - x^{2} - y^{2} d y

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

\int 1 d y = y

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

limit as x approaches-3-of (|x-3|)/(x-3)

x \to - 3 - lim (\frac{∣ x - 3 ∣}{x - 3})

derivative of 2x^3+4

\frac{d}{d x} (2 x^{3} + 4)

integral of x+1/(x^2+1)

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

derivative of e^x(x-3)

\frac{d}{d x} (e^{x} (x - 3))

fläche sqrt(x), 1/2 x,9

a re a x, \frac{1}{2} x, 9