integral from 1 to 3 of-x^2

Lösung

\int_{1}^{3} - x^{2} d x

- \frac{26}{3}

Dezimale

- 8.66666 \dots

Schritte zur Lösung

\int_{1}^{3} - x^{2} d x

Entferne die Konstante:

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

= - \int_{1}^{3} x^{2} d x

Wende die Potenzregel an

= - [\frac{x ^{3}}{3}]_{1}^{3}

Berechne die Grenzen:

\frac{26}{3}

= - \frac{26}{3}

\int_{1}^{1.5} 1 d x

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\int_{1}^{\infty} \frac{c}{x ^{4}} d x

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\int_{y^{3}}^{y} (1 - y^{2})^{8} d y