integral from 0 to pi of-x^2

Lösung

\int_{0}^{π} - x^{2} d x

- \frac{π ^{3}}{3}

Dezimale

- 10.33542 \dots

Schritte zur Lösung

\int_{0}^{π} - x^{2} d x

Entferne die Konstante:

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

= - \int_{0}^{π} x^{2} d x

Wende die Potenzregel an

= - [\frac{x ^{3}}{3}]_{0}^{π}

Berechne die Grenzen:

\frac{π ^{3}}{3}

= - \frac{π ^{3}}{3}

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