integral from 0 to 2 of (3-x)sqrt(x)

Lösung

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

42 - \frac{8 2}{5}

Dezimale

3.39411 \dots

Schritte zur Lösung

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

Multipliziere aus

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

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

\int_{0}^{2} 3 x d x = 42

\int_{0}^{2} x^{\frac{3}{2}} d x = \frac{8 2}{5}

= 42 - \frac{8 2}{5}

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