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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{16}{5}

+1

Dezimale

3.2

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{- 2}^{0} \frac{u ^{4}}{2} d u

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int_{- 2}^{0} u^{4} d u

Wende die Potenzregel an

= \frac{1}{2} [\frac{u ^{5}}{5}]_{- 2}^{0}

Berechne die Grenzen:

\frac{32}{5}

= \frac{1}{2} \cdot \frac{32}{5}

Vereinfache

= \frac{16}{5}

Graph

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