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Beliebt Rechnen >

integral of (x^2-5x+4)

Lösung

\int (x^{2} - 5 x + 4) d x

Lösung

\frac{x ^{3}}{3} - \frac{5 x ^{2}}{2} + 4 x + C

Schritte zur Lösung

\int x^{2} - 5 x + 4 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 x^{2} d x - \int 5 x d x + \int 4 d x

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

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 4 d x = 4 x

= \frac{x ^{3}}{3} - \frac{5 x ^{2}}{2} + 4 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} - \frac{5 x ^{2}}{2} + 4 x + C

Graph

Beliebte Beispiele

integral of cos(4x)cos(2x)

\int cos (4 x) cos (2 x) d x

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\int \frac{- x - 1}{x ^{2} + 3} d x

integral of sqrt(x)sqrt(x^{3/2)}-1

\int x x^{\frac{3}{2}} - 1 d x

fläche sin(x),cos(x),x=-pi/6

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