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Beliebt Rechnen >

integral from-1 to 2 of (3x^2-2x+3)

Lösung

\int_{- 1}^{2} (3 x^{2} - 2 x + 3) d x

Lösung

15

Schritte zur Lösung

\int_{- 1}^{2} 3 x^{2} - 2 x + 3 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_{- 1}^{2} 3 x^{2} d x - \int_{- 1}^{2} 2 x d x + \int_{- 1}^{2} 3 d x

\int_{- 1}^{2} 3 x^{2} d x = 9

\int_{- 1}^{2} 2 x d x = 3

\int_{- 1}^{2} 3 d x = 9

= 9 - 3 + 9

Vereinfache

= 15

Graph

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