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

Lösung

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

42

Schritte zur Lösung

\int_{1}^{4} 2 x^{2} d x

Entferne die Konstante:

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

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

Wende die Potenzregel an

= 2 [\frac{x ^{3}}{3}]_{1}^{4}

Berechne die Grenzen:

21

= 2 \cdot 21

Vereinfache

= 42

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