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Beliebt Rechnen >

integral from 0 to 2 of (2x^2-3x+2)

Lösung

\int_{0}^{2} (2 x^{2} - 3 x + 2) d x

Lösung

\frac{10}{3}

+1

Dezimale

3.33333 \dots

Schritte zur Lösung

\int_{0}^{2} 2 x^{2} - 3 x + 2 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}^{2} 2 x^{2} d x - \int_{0}^{2} 3 x d x + \int_{0}^{2} 2 d x

\int_{0}^{2} 2 x^{2} d x = \frac{16}{3}

\int_{0}^{2} 3 x d x = 6

\int_{0}^{2} 2 d x = 4

= \frac{16}{3} - 6 + 4

Vereinfache

\frac{16}{3} - 6 + 4 : \frac{10}{3}

= \frac{10}{3}

Graph

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