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Beliebt Rechnen >

integral of-4x^2-4x+48

Lösung

\int - 4 x^{2} - 4 x + 48 d x

Lösung

- \frac{4 x ^{3}}{3} - 2 x^{2} + 48 x + C

Schritte zur Lösung

\int - 4 x^{2} - 4 x + 48 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 4 x^{2} d x - \int 4 x d x + \int 48 d x

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

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

\int 48 d x = 48 x

= - \frac{4 x ^{3}}{3} - 2 x^{2} + 48 x

Füge eine Konstante zur Lösung hinzu

= - \frac{4 x ^{3}}{3} - 2 x^{2} + 48 x + C

Graph

Beliebte Beispiele

limit as x approaches 0+of ln(7/(x^3))

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

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integral of x^{1/9}

\int x^{\frac{1}{9}} d x

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\int (x + 1) sec (x^{2} + 2 x) tan (x^{2} + 2 x) d x