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Beliebt Rechnen >

integral of (-x^2-x+6)

Lösung

\int (- x^{2} - x + 6) d x

Lösung

- \frac{x ^{3}}{3} - \frac{x ^{2}}{2} + 6 x + C

Schritte zur Lösung

\int - x^{2} - x + 6 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 6 d x

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

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

\int 6 d x = 6 x

= - \frac{x ^{3}}{3} - \frac{x ^{2}}{2} + 6 x

Füge eine Konstante zur Lösung hinzu

= - \frac{x ^{3}}{3} - \frac{x ^{2}}{2} + 6 x + C

Graph

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\int 3 x - cos (x) d x

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\int \frac{9}{( t ^{2} + 1 ) ^{\frac{3}{2}}} d t