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Beliebt Rechnen >

integral of x^2+3x-1

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (x+1)^2*e^x

\int (x + 1)^{2} \cdot e^{x} d x

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\int \frac{3}{7} x^{\frac{7}{4}} d x

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