integral from 0 to 2 of-5x^2

Lösung

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

- \frac{40}{3}

Dezimale

- 13.33333 \dots

Schritte zur Lösung

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 5 \cdot \int_{0}^{2} x^{2} d x

Wende die Potenzregel an

= - 5 [\frac{x ^{3}}{3}]_{0}^{2}

Berechne die Grenzen:

\frac{8}{3}

= - 5 \cdot \frac{8}{3}

Vereinfache

= - \frac{40}{3}

\int_{0}^{\frac{7}{2}} 7 x - 2 x^{2} d x

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