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Beliebt Rechnen >

integral of 3x^2y+4xy^2

Lösung

\int 3 x^{2} y + 4 x y^{2} d x

Lösung

y x^{3} + 2 y^{2} x^{2} + C

Schritte zur Lösung

\int 3 x^{2} y + 4 x 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 3 y x^{2} d x + \int 4 y^{2} x d x

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

\int 4 y^{2} x d x = 2 y^{2} x^{2}

= y x^{3} + 2 y^{2} x^{2}

Füge eine Konstante zur Lösung hinzu

= y x^{3} + 2 y^{2} x^{2} + C

Graph

Beliebte Beispiele

integral of \sqrt[7]{tan(8x)}sec^2(8x)

\int 7 tan (8 x) sec^{2} (8 x) d x

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\int x + 6 d x

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\int t ln (t) d t

(\partial)/(\partial x)(ln(x^2-y^2))

\frac{\partial}{\partial x} (ln (x^{2} - y^{2}))

integral of 1/(x^2+2x+50)

\int \frac{1}{x ^{2} + 2 x + 50} d x