integral from 0 to 4 of (2sqrt(x)-x)

Lösung

\int_{0}^{4} (2 x - x) d x

\frac{8}{3}

Dezimale

2.66666 \dots

Schritte zur Lösung

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

\int_{0}^{4} 2 x d x = \frac{32}{3}

\int_{0}^{4} x d x = 8

= \frac{32}{3} - 8

Vereinfache

\frac{32}{3} - 8 : \frac{8}{3}

= \frac{8}{3}

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