integral from 0 to 5 of (-2x^2+10x)

Lösung

\int_{0}^{5} (- 2 x^{2} + 10 x) d x

\frac{125}{3}

Dezimale

41.66666 \dots

Schritte zur Lösung

\int_{0}^{5} - 2 x^{2} + 10 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}^{5} 2 x^{2} d x + \int_{0}^{5} 10 x d x

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

\int_{0}^{5} 10 x d x = 125

= - \frac{250}{3} + 125

Vereinfache

- \frac{250}{3} + 125 : \frac{125}{3}

= \frac{125}{3}

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