integral from 1 to 21 of 328.31x^{-0.41}

Lösung

\int_{1}^{21} 328.31 x^{- 0.41} d x

2797.37575 \dots

Schritte zur Lösung

\int_{1}^{21} 328.31 x^{- 0.41} d x

Entferne die Konstante:

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

= 328.31 \cdot \int_{1}^{21} x^{- 0.41} d x

Wende die Potenzregel an

= 328.31 [1.69491 \dots x^{0.59}]_{1}^{21}

Berechne die Grenzen:

8.52053 \dots

= 328.31 \cdot 8.52053 \dots

Vereinfache

= 2797.37575 \dots

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