integral from 0 to 5 of 50-2x^2

Lösung

\int_{0}^{5} 50 - 2 x^{2} d x

\frac{500}{3}

Dezimale

166.66666 \dots

Schritte zur Lösung

\int_{0}^{5} 50 - 2 x^{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}^{5} 50 d x - \int_{0}^{5} 2 x^{2} d x

\int_{0}^{5} 50 d x = 250

\int_{0}^{5} 2 x^{2} d x = \frac{250}{3}

= 250 - \frac{250}{3}

Vereinfache

250 - \frac{250}{3} : \frac{500}{3}

= \frac{500}{3}

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