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Beliebt Rechnen >

integral from 0 to 2 of-x^2+4

Lösung

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

Lösung

\frac{16}{3}

+1

Dezimale

5.33333 \dots

Schritte zur Lösung

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

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

\int_{0}^{2} 4 d x = 8

= - \frac{8}{3} + 8

Vereinfache

- \frac{8}{3} + 8 : \frac{16}{3}

= \frac{16}{3}

Graph

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