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Beliebt Rechnen >

integral from 0 to 3 of (3-x)sqrt(x)

Lösung

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

Lösung

63 - \frac{18 3}{5}

+1

Dezimale

4.15692 \dots

Schritte zur Lösung

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

Multipliziere aus

(3 - x) x : 3 x - x^{\frac{3}{2}}

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

\int_{0}^{3} 3 x d x = 63

\int_{0}^{3} x^{\frac{3}{2}} d x = \frac{18 3}{5}

= 63 - \frac{18 3}{5}

Graph

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