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Beliebt Rechnen >

integral of x^2+x-1

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 1/(sqrt(2as+s^2))

\int \frac{1}{2 a s + s ^{2}} d s

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\int \frac{4}{x ^{2} + 2} d x

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\int cos^{5} (3 x) sin^{2} (3 x) d x

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\int \frac{x}{( 7 x + 1 ) ^{17}} d x