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Beliebt Rechnen >

integral from 1 to 4 of (x-3)^2

Lösung

\int_{1}^{4} (x - 3)^{2} d x

Lösung

3

Schritte zur Lösung

\int_{1}^{4} (x - 3)^{2} d x

Multipliziere aus

(x - 3)^{2} : x^{2} - 6 x + 9

= \int_{1}^{4} x^{2} - 6 x + 9 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}^{4} x^{2} d x - \int_{1}^{4} 6 x d x + \int_{1}^{4} 9 d x

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 6 x d x = 45

\int_{1}^{4} 9 d x = 27

= 21 - 45 + 27

Vereinfache

= 3

Graph

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