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Beliebt Rechnen >

integral of 3x^2-2y^2

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of x/(1-2x)

\int \frac{x}{1 - 2 x} d x

limit as x approaches 1 of sqrt(3+f(x))

x \to 1 lim (3 + f (x))

integral of t^2e^{-4t}

\int t^{2} e^{- 4 t} d t

derivative of (4x/(7x-2))

\frac{d}{d x} (\frac{4 x}{7 x - 2})

inverselaplace 1/((2s+1)s)

in v erse l a pl a ce \frac{1}{( 2 s + 1 ) s}