integral from-0.1 to 0.9 of-1600x

Lösung

\int_{- 0.1}^{0.9} - 1600 x d x

- 640

Schritte zur Lösung

\int_{- 0.1}^{0.9} - 1600 x d x

Entferne die Konstante:

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

= - 1600 \cdot \int_{- 0.1}^{0.9} x d x

Wende die Potenzregel an

= - 1600 [\frac{x ^{2}}{2}]_{- 0.1}^{0.9}

Vereinfache

= - 1600 [0.5 x^{2}]_{- 0.1}^{0.9}

Berechne die Grenzen:

0.4

= - 1600 \cdot 0.4

Vereinfache

= - 640

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