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Beliebt Rechnen >

integral from-1 to 1 of 0.09375(4-x^2)

Lösung

\int_{- 1}^{1} 0.09375 (4 - x^{2}) d x

Lösung

0.6875

Schritte zur Lösung

\int_{- 1}^{1} 0.09375 (4 - x^{2}) d x

Entferne die Konstante:

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

= 0.09375 \cdot \int_{- 1}^{1} 4 - x^{2} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= 0.09375 (\int_{- 1}^{1} 4 d x - \int_{- 1}^{1} x^{2} d x)

\int_{- 1}^{1} 4 d x = 8

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

= 0.09375 (8 - \frac{2}{3})

Vereinfache

0.09375 (8 - \frac{2}{3}) : 0.6875

= 0.6875

Graph

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