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Beliebt Rechnen >

integral from 0 to 6 of-x^2+6x

Lösung

\int_{0}^{6} - x^{2} + 6 x d x

Lösung

36

Schritte zur Lösung

\int_{0}^{6} - x^{2} + 6 x 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_{0}^{6} x^{2} d x + \int_{0}^{6} 6 x d x

\int_{0}^{6} x^{2} d x = 72

\int_{0}^{6} 6 x d x = 108

= - 72 + 108

Vereinfache

= 36

Graph

Beliebte Beispiele

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\int \frac{6 x ^{2} + 5 x + 6}{( x ^{2} + 1 ) ^{2}} d x