integral from 1 to 4 of 6x^2

Lösung

\int_{1}^{4} 6 x^{2} d x

126

Schritte zur Lösung

\int_{1}^{4} 6 x^{2} d x

Entferne die Konstante:

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

= 6 \cdot \int_{1}^{4} x^{2} d x

Wende die Potenzregel an

= 6 [\frac{x ^{3}}{3}]_{1}^{4}

Berechne die Grenzen:

21

= 6 \cdot 21

Vereinfache

= 126

\int_{1}^{4} x e^{- x} d x

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