integral from-1 to 0 of (5x)

Lösung

\int_{- 1}^{0} (5 x) d x

- \frac{5}{2}

Dezimale

- 2.5

Schritte zur Lösung

\int_{- 1}^{0} 5 x d x

Entferne die Konstante:

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

= 5 \cdot \int_{- 1}^{0} x d x

Wende die Potenzregel an

= 5 [\frac{x ^{2}}{2}]_{- 1}^{0}

Berechne die Grenzen:

- \frac{1}{2}

= 5 (- \frac{1}{2})

Vereinfache

= - \frac{5}{2}

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