integral from 2 to 5 of (2x-3)^4

Lösung

\int_{2}^{5} (2 x - 3)^{4} d x

\frac{8403}{5}

Dezimale

1680.6

Schritte zur Lösung

\int_{2}^{5} (2 x - 3)^{4} d x

Wende U-Substitution an

= \int_{1}^{7} \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_{1}^{7} u^{4} d u

Wende die Potenzregel an

= \frac{1}{2} [\frac{u ^{5}}{5}]_{1}^{7}

Berechne die Grenzen:

\frac{16806}{5}

= \frac{1}{2} \cdot \frac{16806}{5}

Vereinfache

= \frac{8403}{5}

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