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Beliebt Rechnen >

integral from 1 to 9 of (x^2-4x+5)

Lösung

\int_{1}^{9} (x^{2} - 4 x + 5) d x

Lösung

\frac{368}{3}

+1

Dezimale

122.66666 \dots

Schritte zur Lösung

\int_{1}^{9} x^{2} - 4 x + 5 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}^{9} x^{2} d x - \int_{1}^{9} 4 x d x + \int_{1}^{9} 5 d x

\int_{1}^{9} x^{2} d x = \frac{728}{3}

\int_{1}^{9} 4 x d x = 160

\int_{1}^{9} 5 d x = 40

= \frac{728}{3} - 160 + 40

Vereinfache

\frac{728}{3} - 160 + 40 : \frac{368}{3}

= \frac{368}{3}

Graph

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